Question

solve for all values of x by factoring.
$x^2 - 2x - 4 = -2x$

Explanation:

Step1: Rearrange equation to standard form

Add $2x$ to both sides:
$x^2 - 2x - 4 + 2x = 0$
Simplify to get:
$x^2 - 4 = 0$

Step2: Factor the quadratic expression

Recognize difference of squares:
$x^2 - 4 = (x-2)(x+2) = 0$

Step3: Solve for x using zero product property

Set each factor equal to 0:
$x-2=0$ or $x+2=0$

Answer:

$x=2$ and $x=-2$