h^2-12h+36=4

Solution for h^2-12h+36=4 equation:

Simplifying
h2 + -12h + 36 = 4

Reorder the terms:
36 + -12h + h2 = 4

Solving
36 + -12h + h2 = 4

Solving for variable 'h'.

Reorder the terms:
36 + -4 + -12h + h2 = 4 + -4

Combine like terms: 36 + -4 = 32
32 + -12h + h2 = 4 + -4

Combine like terms: 4 + -4 = 0
32 + -12h + h2 = 0

Factor a trinomial.
(4 + -1h)(8 + -1h) = 0

Subproblem 1
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Subproblem 2
Set the factor '(8 + -1h)' equal to zero and attempt to solve:

Simplifying
8 + -1h = 0

Solving
8 + -1h = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1h = 0 + -8
-1h = 0 + -8

Combine like terms: 0 + -8 = -8
-1h = -8

Divide each side by '-1'.
h = 8

Simplifying
h = 8
Solution
h = {4, 8}