Question

question
solve for all values of ( x ) by factoring.
( x^2 - 10x = -x )

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 10x + x = 0$

Step2: Combine like terms

$x^2 - 9x = 0$

Step3: Factor out common term $x$

$x(x - 9) = 0$

Step4: Set factors equal to 0

$x = 0$ or $x - 9 = 0$

Step5: Solve for $x$

$x = 0$ or $x = 9$

Answer:

$x = 0$ and $x = 9$