Given the equation:
[tex]x^3-10x=3x^2[/tex]We will solve the equation by factoring as follows:
Make all terms on the left side of the equations:
[tex]x^3-3x^2-10x=0[/tex]Take x as a common factor from all terms:
[tex]x(x^2-3x-10)=0[/tex]Factor the equation:
[tex]x(x-5)(x+2)=0[/tex]Solve:
[tex]\begin{gathered} x=0 \\ \\ (x-5)=0\rightarrow x=5 \\ \\ (x+2)=0\rightarrow x=-2 \end{gathered}[/tex]so, the answer will be x = { -2, 0 , 5 }
