Question 32645
Your first step was ok.
{{{4x^2-5x-6 = 0}}} Now you can factor this.
{{{(4x+3)(x-2) = 0}}} Apply the zero products principle.
{{{4x+3 = 0}}} and/or {{{x-2 = 0}}}
If {{{4x+3 = 0}}} then {{{4x = -3}}} and {{{x = -3/4}}}
If {{{x-2 = 0}}} then {{{x = 2}}}

The roots are:
{{{x = -3/4}}}
{{{x = 2}}}