8h(2-3)+h^2=8h

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

Simplifying
8h(2 + -3) + h2 = 8h

Combine like terms: 2 + -3 = -1
8h(-1) + h2 = 8h

Reorder the terms for easier multiplication:
8 * -1h + h2 = 8h

Multiply 8 * -1
-8h + h2 = 8h

Solving
-8h + h2 = 8h

Solving for variable 'h'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'h'.
h(-16 + h) = 0

Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(-16 + h)' equal to zero and attempt to solve:

Simplifying
-16 + h = 0

Solving
-16 + h = 0

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

Add '16' to each side of the equation.
-16 + 16 + h = 0 + 16

Combine like terms: -16 + 16 = 0
0 + h = 0 + 16
h = 0 + 16

Combine like terms: 0 + 16 = 16
h = 16

Simplifying
h = 16
Solution
h = {0, 16}