Question 69289
Solve for x:
{{{3x^2-11x = 4}}} Subtract 4 from both sides of the equation.
{{{3x^2-11x-4 = 0}}} Solve this quadratic equation by factoring.
{{{(3x+1)(x-4) = 0}}} Apply the zero product principle.
{{{3x+1 = 0}}} and/or {{{x-4 = 0}}}
If {{{3x+1 = 0}}} then {{{3x = -1}}} and {{{ x = -1/3}}}
If {{{x-4 = 0}}} then {{{x = 4}}}
The solutions are:
{{{x = -1/3}}}
{{{x = 4}}}