Question

What is the solution set of the equation x^2-3x-4=6

Answer 1

x = 5, x = -2

Explanation:

x² - 3x - 4 = 6

Subtract: x² - 3x - 10 = 0

Find two numbers to factor: adds up to -3x, product is -10x²: -5x and 2x

Substitute: x² - 5x + 2x - 10 = 0

Factor: (x - 5)(x + 2) = 0

Solutions: x = 5, x = -2