Question 13530
You can solve this quadratic equation by factoring.

{{{8x^2 - 6x - 9 = 0}}} Factor.
{{{(2x - 3)(4x + 3) = 0}}} Apply the zero products principle.
{{{(2x - 3) = 0}}} or {{{(4x + 3) = 0}}}

If {{{2x - 3 = 0}}}, then {{{2x = 3}}} and {{{x = 3/2}}}
If {{{4x + 3 = 0}}}, then {{{4x = -3}}} and {{{x = -3/4}}}