Solve the polynomial equation by factoring: 2x^3 - 12x^2 = 32x - 192

First divide both sides by 2

x³-6x²=16x-96

minus 16x from both sides and dd 96 to both sides

x³-6x²-16x+96=0

factor by grouping

(x³-6x²) + (-16x+96) = 0

(x²) (x-6) + (-16) (x-6) = 0

undistribute the (x-6)

(x²-16) (x-6) = 0

(x-4) (x+4) (x-6) = 0

set each to zero

x-4=0

x=4

x+4=0

x=-4

x-6=0

x=6

x=-4, 4, and 6

X=6, - 4, 4 these are the answers