Question 235900
Solve for x:
{{{x^3+5x^2 = 6x}}} Subtract 6x from both sides.

{{{x^3+5x^2-6x = 0}}} Factor an x from the left side.
{{{x(x^2+5x-6) = 0}}} Factor the trinomial in parentheses.
{{{x(x-1)(x+6) = 0}}} Apply the zero product rule.
{{{x = 0}}} or {{{x-1 = 0}}} or {{{x+6 = 0}}}
{{{highlight(x = 0)}}}
{{{highlight(x = 1)}}}
{{{highlight(x = -6)}}}