#### Answer

x=6

#### Work Step by Step

Rewrite the equation in standard form.
x$^2$=12x-36
x$^2$-12x=-36
x$^2$-12x+36=0
Factor the trinomial.
(x-6)(x-6)=0
(x-6)$^2$=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
x-6=0
x=6
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at 6.