Solve: 4x3 - 16x2 - 20x = 0 by factoring

Sagot :

1) GCF of each term is 4x.

2) Factor out 4x from the equation (Divide each term by 4x), the result is:
    4x (x² - 4x-5)

3)  Factor (x² - 4x - 5)
     4x (x+1) (x-5)

4) Solve for the roots:
4x = 0                x+1=0                 x-5 = 0
x = 0                  x = -1                  x = 5

The solution (roots) are: 0, -1, and 5.