x^2-12x+36=144

Solution for x^2-12x+36=144 equation:

Simplifying
x2 + -12x + 36 = 144

Reorder the terms:
36 + -12x + x2 = 144

Solving
36 + -12x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
36 + -144 + -12x + x2 = 144 + -144

Combine like terms: 36 + -144 = -108
-108 + -12x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-108 + -12x + x2 = 0

Factor a trinomial.
(-6 + -1x)(18 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-6, 18}