Solve the following equation.

x^2 + 6x - 40 = 0

x = 4 and - 10

Step-by-step explanation:

Given the equation

x²+6x-40 = 0

The common factors to use for the factorisation are + 10 and - 4

x² + (10x-4x) - 40=0

(x²+10x) - (4x-40) = 0

x (x+10) - 4 (x+10) = 0

(x-4) (x+10) = 0

x-4 = 0 and x+10 = 0

x = 4 and x = - 10