Question

4x3 + 12x2 = 40x How to solve by factoring

Answer 1

Answer:

x=0    x=-5      x=2

Step-by-step explanation:

4x3 + 12x2 = 40x

Subtract 40x from each side

4x3 + 12x2 - 40x=0

Factor out 4x from each term

4x( x^2 +3x-10) =0

Factor the term insdie the parentheses

What 2 numbers multiply to -10 and add to 3

5*-2 =-10

5+-2 =3

We have (x+5) (x-2)  

Replace that in the equation

4x ( x+5) (x-2) =0

Using the zero product property

4x= 0  x+5 =0   x-2 =0

x=0    x=-5      x=2

Answer 2

Answer:0.9

Step-by-step explanation:

4x3+12x2=40X

12+24=40x

36=40x

x=36 ➗ 40

x=0.9