Solve for P: 2P(3 + P⁰) = 8

Published on September 27, 2024

Algebra

Solve for P in the equation 2P(3 + P⁰) = 8. The solution is P = 1.

Question

Answer

Let’s solve the equation step-by-step:
  1. Simplify any terms with exponents: Anything raised to the power of 0 equals 1. So, P⁰ = 1.
    Our equation now becomes:
    2P(3 + 1) = 8
  2. Simplify inside the parentheses: 3 + 1 = 4
    Our equation now becomes:
    2P(4) = 8
  3. Simplify the left side: 2P(4) = 8P
    Our equation now becomes:
    8P = 8
  4. Isolate P: Divide both sides of the equation by 8.
    (8P) / 8 = 8 / 8
  5. Simplify: This leaves us with:
    P = 1
Therefore, the answer is P = 1.