Question 775452
make a table of x and y values, plug in any value for x and solve for y (ie {{{y=x^2-12x+36}}}) that will give you points to plot the graph. you need about 5 or so points. Then plot it and see where the graph crosses x axis. next plug those points in to see if left side equals right side. 

{{{ graph( 300, 200, -2, 10, -2, 40, x^2-12x+36) }}}
from the graph you can tell that the solution is at x=6 so plug that into your equation
{{{x^2-12x=-36}}} 
{{{6^2-12*6=-36}}} 
{{{36-72=-36}}}
{{{-36=-36}}} left side equals right side so solution is correct