Answer
$$x=0$$
$$x=\frac{1}{4}$$
$$x=-\frac{3}{2}$$
Work Step by Step
We have $$8x^3+10x^2=3x$$
Sending all the term to the left side of the equation $$8x^3+10x^2-3x=0$$
Factorizing $$x(8x^2+10x-3)=0$$ $$x(4x-1)(2x+3)=0$$
Solving each parenthesis 1)$$x=0$$
2)$$4x-1=0$$ $$4x=1$$ $$x=\frac{1}{4}$$
3)$$2x+3=0$$ $$2x=-3$$ $$x=-\frac{3}{2}$$
