h^2-2h=6h-16

Solution for h^2-2h=6h-16 equation:

Simplifying
h2 + -2h = 6h + -16

Reorder the terms:
-2h + h2 = 6h + -16

Reorder the terms:
-2h + h2 = -16 + 6h

Solving
-2h + h2 = -16 + 6h

Solving for variable 'h'.

Reorder the terms:
16 + -2h + -6h + h2 = -16 + 6h + 16 + -6h

Combine like terms: -2h + -6h = -8h
16 + -8h + h2 = -16 + 6h + 16 + -6h

Reorder the terms:
16 + -8h + h2 = -16 + 16 + 6h + -6h

Combine like terms: -16 + 16 = 0
16 + -8h + h2 = 0 + 6h + -6h
16 + -8h + h2 = 6h + -6h

Combine like terms: 6h + -6h = 0
16 + -8h + h2 = 0

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

Subproblem 1
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
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 = {4, 4}