Question

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

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 2x = 0$

Step2: Factor out common term $x$

$x(x - 2) = 0$

Step3: Apply zero product property

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

Step4: Solve for $x$

$x = 0$ or $x = 2$

Answer:

$x=0$ and $x=2$