Question 75039
You can solve this quadratic equation by factoring.
{{{4x^2 = 13x+12}}} First, rewrite in standard form.
{{{4x^2-13x-12 = 0}}} Now factor.
{{{(4x+3)(x-4) = 0}}} Apply the zero product principle.
{{{4x+3 = 0}}} and/or {{{x-4 = 0}}}
If {{{4x+3 = 0}}} then {{{4x = -3}}} so {{{x = -3/4}}}
If {{{x-4 = 0}}} then {{{x = 4}}}

The roots are:
{{{x = -3/4}}}
{{{x = 4}}}