h^2-8=-3h+10

Solution for h^2-8=-3h+10 equation:

Simplifying
h2 + -8 = -3h + 10

Reorder the terms:
-8 + h2 = -3h + 10

Reorder the terms:
-8 + h2 = 10 + -3h

Solving
-8 + h2 = 10 + -3h

Solving for variable 'h'.

Reorder the terms:
-8 + -10 + 3h + h2 = 10 + -3h + -10 + 3h

Combine like terms: -8 + -10 = -18
-18 + 3h + h2 = 10 + -3h + -10 + 3h

Reorder the terms:
-18 + 3h + h2 = 10 + -10 + -3h + 3h

Combine like terms: 10 + -10 = 0
-18 + 3h + h2 = 0 + -3h + 3h
-18 + 3h + h2 = -3h + 3h

Combine like terms: -3h + 3h = 0
-18 + 3h + h2 = 0

Factor a trinomial.
(-6 + -1h)(3 + -1h) = 0

Subproblem 1
Set the factor '(-6 + -1h)' equal to zero and attempt to solve:

Simplifying
-6 + -1h = 0

Solving
-6 + -1h = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1h = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1h = 0 + 6
-1h = 0 + 6

Combine like terms: 0 + 6 = 6
-1h = 6

Divide each side by '-1'.
h = -6

Simplifying
h = -6
Subproblem 2
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
Solution
h = {-6, 3}