Question 1087731
{{{5x^2=13x+6}}}
{{{5x^2-13x-6=0}}}
The next steps sometimes are done in the student's head
(or in penciled in/erased off trial and error process),
and the only thing written next is 
{{{(5x-2)(x+3)=0}}}
From there, making each factor equal to zero leads to the answer:
{{{5x-2=0}}} --> {{{5x=2}}} --> {{{highlight(x=2/5)}}}
{{{x+3=0}}} --> {{{highlight(x=-3)}}}