0=h^2-4h-12

Solution for 0=h^2-4h-12 equation:

Simplifying
0 = h2 + -4h + -12

Reorder the terms:
0 = -12 + -4h + h2

Solving
0 = -12 + -4h + h2

Solving for variable 'h'.

Combine like terms: 0 + 12 = 12
12 + 4h + -1h2 = -12 + -4h + h2 + 12 + 4h + -1h2

Reorder the terms:
12 + 4h + -1h2 = -12 + 12 + -4h + 4h + h2 + -1h2

Combine like terms: -12 + 12 = 0
12 + 4h + -1h2 = 0 + -4h + 4h + h2 + -1h2
12 + 4h + -1h2 = -4h + 4h + h2 + -1h2

Combine like terms: -4h + 4h = 0
12 + 4h + -1h2 = 0 + h2 + -1h2
12 + 4h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
12 + 4h + -1h2 = 0

Factor a trinomial.
(6 + -1h)(2 + h) = 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 '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

Simplifying
h = -2
Solution
h = {6, -2}