12h^2=2h+4

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

Simplifying
12h2 = 2h + 4

Reorder the terms:
12h2 = 4 + 2h

Solving
12h2 = 4 + 2h

Solving for variable 'h'.

Reorder the terms:
-4 + -2h + 12h2 = 4 + 2h + -4 + -2h

Reorder the terms:
-4 + -2h + 12h2 = 4 + -4 + 2h + -2h

Combine like terms: 4 + -4 = 0
-4 + -2h + 12h2 = 0 + 2h + -2h
-4 + -2h + 12h2 = 2h + -2h

Combine like terms: 2h + -2h = 0
-4 + -2h + 12h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1h + 6h2) = 0

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

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

Simplifying
2 + -3h = 0

Solving
2 + -3h = 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 + -3h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3h = 0 + -2
-3h = 0 + -2

Combine like terms: 0 + -2 = -2
-3h = -2

Divide each side by '-3'.
h = 0.6666666667

Simplifying
h = 0.6666666667
Solution
h = {-0.5, 0.6666666667}