Question

Solve the following equation by factoring. Separate multiple answers with a comma x^3 - 10x = 3x^2

Answer 1

Given the equation:

`x^3-10x=3x^2`

We will solve the equation by factoring as follows:

Make all terms on the left side of the equations:

`x^3-3x^2-10x=0`

Take x as a common factor from all terms:

`x(x^2-3x-10)=0`

Factor the equation:

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

Solve:

`\begin{gathered} x=0 \\ \\ (x-5)=0\rightarrow x=5 \\ \\ (x+2)=0\rightarrow x=-2 \end{gathered}`

so, the answer will be x = { -2, 0 , 5 }