Answer
The solution set is {$3,4$}.
Work Step by Step
$x^2+12=7x$
$x^2-7x+12=0$ Write the equation in standard form.
$(x-3)(x-4)$=0 Factor.
$x-3 =0 $ or $x-4$=0 Set each factor equal to 0.
$x=3$ or $x=4$
The solution set is {$3,4$}.