Solve for all values of x by factoring. x^2-4x-32=0 Answer Attempt 1 out of 3 x=square

Question

Answer 1

To solve the quadratic equation

by factoring, we need to find two numbers that multiply to

and add up to

.The quadratic equation is in the form

, where

,

, and

.We need to find two numbers whose product is \(ac = 1 \cdot (-32) = -32\) and whose sum is

.The numbers that satisfy these conditions are

and

, because:

So, we can factor the quadratic equation as:

Setting each factor equal to zero gives us the solutions:

Solving these equations, we get:

Therefore, the solutions to the equation

are:

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