h^2-8h+12=5

Solution for h^2-8h+12=5 equation:

Simplifying
h2 + -8h + 12 = 5

Reorder the terms:
12 + -8h + h2 = 5

Solving
12 + -8h + h2 = 5

Solving for variable 'h'.

Reorder the terms:
12 + -5 + -8h + h2 = 5 + -5

Combine like terms: 12 + -5 = 7
7 + -8h + h2 = 5 + -5

Combine like terms: 5 + -5 = 0
7 + -8h + h2 = 0

Factor a trinomial.
(1 + -1h)(7 + -1h) = 0

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

Simplifying
1 + -1h = 0

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

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

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

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

Simplifying
h = 1
Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve:

Simplifying
7 + -1h = 0

Solving
7 + -1h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1h = 0 + -7
-1h = 0 + -7

Combine like terms: 0 + -7 = -7
-1h = -7

Divide each side by '-1'.
h = 7

Simplifying
h = 7
Solution
h = {1, 7}