2h^2+3h-11=-6h-6

Solution for 2h^2+3h-11=-6h-6 equation:

Simplifying
2h2 + 3h + -11 = -6h + -6

Reorder the terms:
-11 + 3h + 2h2 = -6h + -6

Reorder the terms:
-11 + 3h + 2h2 = -6 + -6h

Solving
-11 + 3h + 2h2 = -6 + -6h

Solving for variable 'h'.

Reorder the terms:
-11 + 6 + 3h + 6h + 2h2 = -6 + -6h + 6 + 6h

Combine like terms: -11 + 6 = -5
-5 + 3h + 6h + 2h2 = -6 + -6h + 6 + 6h

Combine like terms: 3h + 6h = 9h
-5 + 9h + 2h2 = -6 + -6h + 6 + 6h

Reorder the terms:
-5 + 9h + 2h2 = -6 + 6 + -6h + 6h

Combine like terms: -6 + 6 = 0
-5 + 9h + 2h2 = 0 + -6h + 6h
-5 + 9h + 2h2 = -6h + 6h

Combine like terms: -6h + 6h = 0
-5 + 9h + 2h2 = 0

Factor a trinomial.
(-5 + -1h)(1 + -2h) = 0

Subproblem 1
Set the factor '(-5 + -1h)' equal to zero and attempt to solve:

Simplifying
-5 + -1h = 0

Solving
-5 + -1h = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1h = 0 + 5
-1h = 0 + 5

Combine like terms: 0 + 5 = 5
-1h = 5

Divide each side by '-1'.
h = -5

Simplifying
h = -5
Subproblem 2
Set the factor '(1 + -2h)' equal to zero and attempt to solve:

Simplifying
1 + -2h = 0

Solving
1 + -2h = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2h = 0 + -1

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

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

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5
Solution
h = {-5, 0.5}