Answer
$6$
Work Step by Step
Given: $x^2=12x-36$
or, $x^2-12x+36=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2-6x-6x+36=0$
or, $(x-6)(x-6)=0$ or, $(x-6)^2=0$
Now $x-6=0$
This implies $x=6$