Question

X squared +10x-24x {?}^{2} + 10x - 24" alt="x {?}^{2} + 10x - 24" align="absmiddle" class="latex-formula">

Answer 1

Solve for x using factorizing:
x^2 + 10 x - 24 = 0

The left hand side factors into a product with two terms:
(x - 2) (x + 12) = 0

Split into two equations:
x - 2 = 0 or x + 12 = 0

Add 2 to both sides:
x = 2 or x + 12 = 0
Subtract 12 from both sides:
Answer:  x = 2 or x = -12