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(a+1)(a+2)=0 Solve By Factoring

2 min read Jun 16, 2024
(a+1)(a+2)=0 Solve By Factoring

Solving (a+1)(a+2) = 0 by Factoring

This equation is already in factored form, making it simple to solve. Here's how:

The Zero Product Property

The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Solving the Equation

  1. Identify the factors: We have two factors: (a+1) and (a+2).

  2. Apply the Zero Product Property: Set each factor equal to zero:

    • a + 1 = 0
    • a + 2 = 0

  3. Solve for 'a':

    • a = -1
    • a = -2

Solution

Therefore, the solutions to the equation (a+1)(a+2) = 0 are a = -1 and a = -2.

Verification

We can verify these solutions by plugging them back into the original equation:

  • For a = -1: (-1 + 1)(-1 + 2) = (0)(1) = 0
  • For a = -2: (-2 + 1)(-2 + 2) = (-1)(0) = 0

Both solutions satisfy the original equation, confirming their validity.

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