6h^2+32h=88

Solution for 6h^2+32h=88 equation:

Simplifying
6h2 + 32h = 88

Reorder the terms:
32h + 6h2 = 88

Solving
32h + 6h2 = 88

Solving for variable 'h'.

Reorder the terms:
-88 + 32h + 6h2 = 88 + -88

Combine like terms: 88 + -88 = 0
-88 + 32h + 6h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-44 + 16h + 3h2) = 0

Factor a trinomial.
2((-22 + -3h)(2 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-22 + -3h)' equal to zero and attempt to solve:

Simplifying
-22 + -3h = 0

Solving
-22 + -3h = 0

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

Add '22' to each side of the equation.
-22 + 22 + -3h = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3h = 0 + 22
-3h = 0 + 22

Combine like terms: 0 + 22 = 22
-3h = 22

Divide each side by '-3'.
h = -7.333333333

Simplifying
h = -7.333333333
Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve:

Simplifying
2 + -1h = 0

Solving
2 + -1h = 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 + -1h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1h = 0 + -2
-1h = 0 + -2

Combine like terms: 0 + -2 = -2
-1h = -2

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {-7.333333333, 2}