What is a solution to (x 6) (x 2) = 60? x = - 6 x = - 4 x = 4 x = 12

(x+6) (x+2) = 60

expand

x^2+6x+2x+12=60

x^2+8x+12=60

minus 60 both sides

x^2+8x-48=0

factor

what multiplies to - 48 and adds to 8

-4 and 12

(x-4) (x+12) = 0

set each to zero

x-4=0

x=4

x+12=0

x=-12

x=4 or - 12

solutions are x=-12 and 4