Question 45883
Solve:
{{{3x^2+13x = 10}}} Subtract 10 from both sides of the equation.
{{{3x^2+13x-10 = 0}}} Factor the equation.
{{{(3x-2)(x+5) = 0}}} Apply the zero products principle.
{{{3x-2 = 0}}} and/or {{{x+5 = 0}}}
If {{{3x-2 = 0}}} then {{{3x = 2}}} and {{{x = 2/3}}}
If {{{x+5 = 0}}} then {{{x = -5}}}

The roots are:
{{{x = 2/3}}}
{{{x = -5}}}