01
Equations
Work through linear, quadratic, polynomial, rational, or radical equations while keeping domain restrictions visible.
Algebra Solver
Purpose-built solver page
Algebra Solver
Use this algebra solver for worked help with equations, expressions, systems, inequalities, and algebra word problems. Type the problem or upload a clear image, then review the reasoning step by step.
Type or upload a problemWorked explanationsNo sign-up required
Solve a problem nowalgebra solver
x + y = ?
Equations
Expressions
Systems and inequalities
algebra solver
Solve your algebra problem
Enter your algebra problem below. Add the variable, conditions, and method you want so the AI can return a more relevant worked response.
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algebra solver
What this Algebra solver is designed for
The page is organized around the problem types people actually search for, while staying within the text-and-image solver's current capabilities.
x + y
=Equations
()Expressions
{ }Systems and inequalities
x?Algebra word problems
02
Expressions
Simplify, expand, factor, and combine algebraic expressions with the relevant rule explained.
03
Systems and inequalities
Reason through systems, compound inequalities, and solution-set notation without hiding sign changes.
04
Algebra word problems
Translate a written situation into variables and equations before solving it.
Step
How to use the Algebra solver
A complete prompt usually produces a more useful explanation than an isolated expression.
- 1
State the task
3(2x - 5) = 21Include the full expression and say whether you want to solve, simplify, expand, or factor.
- 2
Preserve the structure
6x - 15 = 21Keep parentheses, fractions, exponents, and inequality symbols clear in the typed problem or image.
- 3
Review the method
6x = 36Follow why each transformation is allowed instead of reading only the final line.
- 4
Check the result
x = 6 ✓Substitute solutions into the original problem and check excluded values or restrictions.
Tip: ask for a named method, a domain, or a verification step when your course requires one.
Example
Algebra problems to try
These examples reflect common search intent and can be inserted into the solver as a starting point.
Example 1
Solve 3(2x - 5) = 21A multi-step linear equation that tests distribution and inverse operations.
Example 2
Factor x^2 - 5x + 6A quadratic expression where the factor pair must match both the sum and product.
Example 3
A number plus twice the number is 36. Find the number.A short word problem that starts by defining a variable and building an equation.
1
Equations
f(x) = 02
Expressions
(x + 2)(x - 3)3
Systems and inequalities
x ∈ (-∞, 4]Formula guides
Understand the formulas used here
Review the related formulas, when to use them, and how they connect in a worked example.
Quadratic Equation Formulas
Learn the essential quadratic equation formulas for solving, checking roots, and graphing a parabola, with one connected example.
Open formula guideSlope Formulas and Forms of a Line
Compare the slope formula, point-slope form, slope-intercept form, standard form, and special horizontal and vertical lines.
Open formula guideExponent Rules
Learn the product, quotient, power, zero, negative, and fractional exponent rules with examples and one complete simplification.
Open formula guideArithmetic Sequence Formulas
Use arithmetic sequence formulas to find the common difference, nth term, recursive rule, and sum of a finite arithmetic series.
Open formula guideGeometric Sequence and Series Formulas
Use geometric sequence formulas to find the common ratio, nth term, recursive rule, finite sum, and convergent infinite sum.
Open formula guideCommon mistakes to watch for
A worked answer is most useful when you know which details are easy to lose along the way.
Losing a negative sign
Distribute a minus sign across every term inside parentheses before combining terms.
Combining unlike terms
Terms can only combine when their variable parts and exponents match.
Skipping verification
A transformed equation can introduce or hide invalid values, so check the original statement.
Algebra solver FAQ
Related Problems
Solve (x^2 + x)/x = 8 and Find 2√x | Rational Equation Solution
Simplify the rational expression (x^2 + x)/x by factoring out x to get x + 1, then solve x + 1 = 8 to find x = 7, so 2√x = 2√7 ≈ 5.29.
Identifying Systems of Inequalities from Graphs: Parabola and Absolute Value
This problem involves determining the correct system of inequalities based on a graph showing a shaded region bounded by a solid parabola and a dashed absolute value function. The solution requires analyzing the line types (solid vs. dashed) to determine strict or non-strict inequalities and identifying the equations of the boundary curves.
Solving a Cubic Equation by Factoring
This problem involves solving the cubic equation 2x^3 + 2x^2 - 24x = 0 by factoring out the greatest common factor and then factoring the resulting quadratic expression.
Find the Y-Value of a Linear Function at X = -3
This problem asks to determine the y-value for x = -3 on a linear function. The solution involves identifying the line's equation from its graph, which is y = 2x - 4, and then substituting x = -3 to find the corresponding y-value.
Solve Linear Equation 2(m+4)=30
Find the value of m in the equation 2(m+4)=30 by simplifying and isolating the variable.
Find the Inequality Represented by the Graph with a Dashed Line
The graph shows a dashed boundary line passing through (0, -3) and (3, -2) with the region above it shaded. By calculating the slope of 1/3 and testing a point, the inequality is determined to be y > (1/3)x - 3.
