01
Linear equations
Isolate the unknown using equivalent operations on both sides.
Equation Solver
Purpose-built solver page
Equation Solver
Use this equation solver to work through a single equation with explanatory steps. It is designed for typed or photographed linear, quadratic, polynomial, rational, and radical equation questions.
Type or upload a problemWorked explanationsNo sign-up required
Solve a problem nowequation solver
f(x) = 0
Linear equations
Quadratic equations
Polynomial equations
equation solver
Solve your equation problem
Enter your equation problem below. Add the variable, conditions, and method you want so the AI can return a more relevant worked response.
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equation solver
What this Equation 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.
02
Quadratic equations
Compare factoring, completing the square, and the quadratic formula when appropriate.
03
Polynomial equations
Look for factoring structure, possible roots, and multiplicity.
04
Rational and radical equations
Track denominator restrictions and check for extraneous solutions.
5x - 73x + 9−3x + 7
Step
How to use the Equation solver
A complete prompt usually produces a more useful explanation than an isolated expression.
- 1
Enter one complete equation
5x - 7 = 3x + 9Include both sides of the equals sign and identify the variable to solve for.
- 2
Keep restrictions visible
x ∈ ℝDo not omit denominators, roots, logarithm bases, or stated domains.
- 3
Follow the chosen method
2x = 16Review the algebraic transformations and why they preserve the solution set.
- 4
Substitute back
5(8) - 7 = 3(8) + 9 ✓Test each candidate in the original equation, especially after squaring or clearing denominators.
Example
Equation problems to try
These examples reflect common search intent and can be inserted into the solver as a starting point.
Example 1
Solve 5x - 7 = 3x + 9A linear equation with the variable on both sides.
Example 2
Solve x^2 - 7x + 12 = 0A quadratic equation that can be checked by factoring.
Example 3
Solve sqrt(x + 5) = x - 1A radical equation where candidate solutions must be checked.
Linear equations
ax + b = cIsolate the unknown using equivalent operations on both sides.
Quadratic equations
ax² + bx + c = 0Compare factoring, completing the square, and the quadratic formula when appropriate.
Polynomial equations
P(x) = 0Look for factoring structure, possible roots, and multiplicity.
Rational and radical equations
P(x)/Q(x) = 0 · √g(x) = h(x)Track denominator restrictions and check for extraneous solutions.
Step
Substitute back
Test each candidate in the original equation, especially after squaring or clearing denominators.
x = 85(8) - 7 = 3(8) + 933 = 33 ✓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 guideCommon mistakes to watch for
A worked answer is most useful when you know which details are easy to lose along the way.
Changing only one side
An operation applied to an equation must be applied consistently to both sides.
Ignoring domain restrictions
Denominators cannot be zero and even roots require valid radicands in the real numbers.
Accepting extraneous roots
Squaring or multiplying by a variable expression can create candidates that fail the original equation.
Equation solver FAQ
