h^2=7h-12

Solution for h^2=7h-12 equation:

Simplifying
h2 = 7h + -12

Reorder the terms:
h2 = -12 + 7h

Solving
h2 = -12 + 7h

Solving for variable 'h'.

Reorder the terms:
12 + -7h + h2 = -12 + 7h + 12 + -7h

Reorder the terms:
12 + -7h + h2 = -12 + 12 + 7h + -7h

Combine like terms: -12 + 12 = 0
12 + -7h + h2 = 0 + 7h + -7h
12 + -7h + h2 = 7h + -7h

Combine like terms: 7h + -7h = 0
12 + -7h + h2 = 0

Factor a trinomial.
(3 + -1h)(4 + -1h) = 0

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

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

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

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

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {3, 4}