Question 107217
You could try this:
{{{8x^2 = 30x+8}}} Subtract 30x from both sides.
{{{8x^2-30x = 8}}} Now subtract 8 from both sides.
{{{8x^2-30x-8 = 0}}} Factor a 2 from this trinomial.
{{{2(4x^2-15x-4) = 0}}} Applying the zero products principle, you get:
{{{4x^2-15x-4 = 0}}} Factor this quadratic equation.
{{{(4x+1)(x-4) = 0}}} Again, apply the zero products principle.
{{{4x+1 = 0}}} or {{{x-4 = 0}}}
If {{{4x+1 = 0}}} then {{{4x = -1}}}, so {{{x = -1/4}}}
If {{{x-4 = 0}}} then {{{x = 4}}}
Solution:
{{{x = -1/4}}}
{{{x = 4}}}