h^2-12h=108

Solution for h^2-12h=108 equation:

Simplifying
h2 + -12h = 108

Reorder the terms:
-12h + h2 = 108

Solving
-12h + h2 = 108

Solving for variable 'h'.

Reorder the terms:
-108 + -12h + h2 = 108 + -108

Combine like terms: 108 + -108 = 0
-108 + -12h + h2 = 0

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

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

Simplifying
-6 + -1h = 0

Solving
-6 + -1h = 0

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

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

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

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

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

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

Simplifying
18 + -1h = 0

Solving
18 + -1h = 0

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

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

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

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

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

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