Verified answer

-5x (x^3 – 3x^2 + 4x + 6)

= -5x^4 + 15x^3 - 20x^2 - 30x

Multiply each term inside the parentheses by -5x:

-5x^4 + 15x^3 - 20x^2 - 30x

-5x (x^3 – 3x^2 + 4x + 6)?

- 5x^4 + 15x^3 - 20x^2 - 30x

-5x(x^3 - 3x^2 + 4x) = 6

1. -5x = 6

x = - 6/5

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

x = 0

3. x^2 - 3x + 4

x(x - 3) = -4

x = -4

4. x - 3 = 0

x = 3

-5x^4+15x^3-20x^2-30x