0=8h^2+6h-1224

Solution for 0=8h^2+6h-1224 equation:

Simplifying
0 = 8h2 + 6h + -1224

Reorder the terms:
0 = -1224 + 6h + 8h2

Solving
0 = -1224 + 6h + 8h2

Solving for variable 'h'.

Combine like terms: 0 + 1224 = 1224
1224 + -6h + -8h2 = -1224 + 6h + 8h2 + 1224 + -6h + -8h2

Reorder the terms:
1224 + -6h + -8h2 = -1224 + 1224 + 6h + -6h + 8h2 + -8h2

Combine like terms: -1224 + 1224 = 0
1224 + -6h + -8h2 = 0 + 6h + -6h + 8h2 + -8h2
1224 + -6h + -8h2 = 6h + -6h + 8h2 + -8h2

Combine like terms: 6h + -6h = 0
1224 + -6h + -8h2 = 0 + 8h2 + -8h2
1224 + -6h + -8h2 = 8h2 + -8h2

Combine like terms: 8h2 + -8h2 = 0
1224 + -6h + -8h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(612 + -3h + -4h2) = 0

Factor a trinomial.
2((12 + -1h)(51 + 4h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(12 + -1h)' equal to zero and attempt to solve:

Simplifying
12 + -1h = 0

Solving
12 + -1h = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1h = 0 + -12

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

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

Divide each side by '-1'.
h = 12

Simplifying
h = 12
Subproblem 2
Set the factor '(51 + 4h)' equal to zero and attempt to solve:

Simplifying
51 + 4h = 0

Solving
51 + 4h = 0

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

Add '-51' to each side of the equation.
51 + -51 + 4h = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 4h = 0 + -51
4h = 0 + -51

Combine like terms: 0 + -51 = -51
4h = -51

Divide each side by '4'.
h = -12.75

Simplifying
h = -12.75
Solution
h = {12, -12.75}