Question

solve for all values of x by factoring.
$x^2 - 10x - 4 = -2x - 4$

Explanation:

Step1: Rearrange to standard form

Add $2x + 4$ to both sides:
$x^2 - 10x - 4 + 2x + 4 = 0$
Simplify to get: $x^2 - 8x = 0$

Step2: Factor the quadratic

Factor out the common term $x$:
$x(x - 8) = 0$

Step3: Solve for $x$

Set each factor equal to 0:
$x = 0$ or $x - 8 = 0$
Solve the second equation: $x = 8$

Answer:

$x = 0$ and $x = 8$