Solve the following equation using any method of your choosing: x² + x = 6

x=-3 x=2

Step-by-step explanation:

x² + x = 6

Subtract 6 from each side

x² + x - 6 = 6-6

x² + x - 6=0

Factor

What 2 numbers will multiply to - 6 and add to 1

3 * -2 = - 6

3+-2 = 1

(x+3) (x-2) = 0

Using the zero product property

x+3 = 0 x-2=0

x=-3 x=2