X squared + 10x-24

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