Question

Solve the equation by factoring. Separate multiple answers with a comma.

Answer 1

Answer:

x = -4, 0, 6

Explanations:

The given equation is:

`x^3-24x=2x^2`

The equation can be re-written as:

`x^3-2x^2\text{ - 24x = 0}`
`\begin{gathered} x(x^2\text{ - 2x - 24) = 0} \\ x\lbrack x^2\text{ - 6x + 4x - 24\rbrack = 0} \\ x\lbrack x(x-6)\text{ + 4(x - 6)\rbrack = 0} \\ x\text{ (x - 6) (x + 4) = 0} \\ x\text{ = 0} \\ x\text{ - 6 = 0} \\ x\text{ = 6} \\ x\text{ + 4 = 0} \\ x\text{ = -4} \end{gathered}`

x = -4, 0, 6