Question

6x = 2x^3 + 11x^2 (put answers in order, from least to greatest)

Answer 1

x=-6; x=0; x=0.5

Explanation:

First, set the equation equal to 0 by subtracting 6x from both sides.

`2x^(3) +11x^(2)-6x=0`

Now, factor out x.

`x(2x^(2)+11x-6)=0`

Factor the expression in the parentheses:

`x(2x-1)(x+6)=0`

For this to be equal to 0, either x, 2x-1, or x+6 must be equal to 0.

Therefore, we can say the following:

x=0

2x-1=0 --> 2x=1 --> x=0.5

x+6=0 --> x=-6

Our answer is x=-6, x=0, x=0.5.