Question

question
solve for all values of x by factoring.

x² + x - 27 = 5x + 5

answer attempt 1 out of 2

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 + x - 27 - 5x - 5 = 0$
$x^2 - 4x - 32 = 0$

Step2: Factor the quadratic expression

Find two numbers that multiply to $-32$ and add to $-4$: $-8$ and $4$.
$(x - 8)(x + 4) = 0$

Step3: Solve for $x$

Set each factor equal to 0:
$x - 8 = 0$ or $x + 4 = 0$

Answer:

$x = 8$ and $x = -4$