Question 721330
{{{6x^3 + 7x^2 = 10x}}}
{{{6x^3 + 7x^2 - 10x = 0}}}
You've made the exactly correct first step. Next we factor, then we use the Zero Product Property:
{{{x(6x^2 + 7x - 10) = 0}}}
{{{x(6x-5 )(x+2) = 0}}}
x = 0 or 6x-5 = 0 or x+2 = 0
Solving...
x = 0 or x = 5/6 or x = -2