2h(h-8)-h=h-16

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Solution for 2h(h-8)-h=h-16 equation: 


Simplifying
2h(h + -8) + -1h = h + -16

Reorder the terms:
2h(-8 + h) + -1h = h + -16
(-8 * 2h + h * 2h) + -1h = h + -16
(-16h + 2h2) + -1h = h + -16

Reorder the terms:
-16h + -1h + 2h2 = h + -16

Combine like terms: -16h + -1h = -17h
-17h + 2h2 = h + -16

Reorder the terms:
-17h + 2h2 = -16 + h

Solving
-17h + 2h2 = -16 + h

Solving for variable 'h'.

Reorder the terms:
16 + -17h + -1h + 2h2 = -16 + h + 16 + -1h

Combine like terms: -17h + -1h = -18h
16 + -18h + 2h2 = -16 + h + 16 + -1h

Reorder the terms:
16 + -18h + 2h2 = -16 + 16 + h + -1h

Combine like terms: -16 + 16 = 0
16 + -18h + 2h2 = 0 + h + -1h
16 + -18h + 2h2 = h + -1h

Combine like terms: h + -1h = 0
16 + -18h + 2h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -9h + h2) = 0

Factor a trinomial.
2((1 + -1h)(8 + -1h)) = 0

Ignore the factor 2.

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 '(8 + -1h)' equal to zero and attempt to solve:

Simplifying
8 + -1h = 0

Solving
8 + -1h = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1h = 0 + -8
-1h = 0 + -8

Combine like terms: 0 + -8 = -8
-1h = -8

Divide each side by '-1'.
h = 8

Simplifying
h = 8
Solution
h = {1, 8}

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