Question

the solution to $x^2 - 10x = 24$ is . done

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 10x - 24 = 0$

Step2: Factor the quadratic expression

Find two numbers that multiply to $-24$ and add to $-10$: $-12$ and $2$.
$(x - 12)(x + 2) = 0$

Step3: Solve for $x$

Set each factor equal to 0:
$x - 12 = 0$ or $x + 2 = 0$

Answer:

$x = 12$ or $x = -2$