Question 191781
{{{4x^3-10x^2-6x=0}}} First, set the right side equal to zero



{{{2x(2x^2-5x-3)=0}}} Factor out the GCF 2x



{{{2x(x-3)(2x+1)=0}}} Factor {{{2x^2-5x-3}}} to get {{{(x-3)(2x+1)}}}



{{{2x=0}}}, {{{x-3=0}}}, or {{{2x+1=0}}} Set each factor equal to zero



{{{x=0}}}, {{{x=3}}}, or {{{x=-1/2}}} Solve for "x" in each case



So the solutions are {{{x=0}}}, {{{x=3}}}, or {{{x=-1/2}}}