100=h(12-2h)(18-2h)

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Solution for 100=h(12-2h)(18-2h) equation: 


Simplifying
100 = h(12 + -2h)(18 + -2h)

Multiply (12 + -2h) * (18 + -2h)
100 = h(12(18 + -2h) + -2h * (18 + -2h))
100 = h((18 * 12 + -2h * 12) + -2h * (18 + -2h))
100 = h((216 + -24h) + -2h * (18 + -2h))
100 = h(216 + -24h + (18 * -2h + -2h * -2h))
100 = h(216 + -24h + (-36h + 4h2))

Combine like terms: -24h + -36h = -60h
100 = h(216 + -60h + 4h2)
100 = (216 * h + -60h * h + 4h2 * h)
100 = (216h + -60h2 + 4h3)

Solving
100 = 216h + -60h2 + 4h3

Solving for variable 'h'.

Reorder the terms:
100 + -216h + 60h2 + -4h3 = 216h + -216h + -60h2 + 60h2 + 4h3 + -4h3

Combine like terms: 216h + -216h = 0
100 + -216h + 60h2 + -4h3 = 0 + -60h2 + 60h2 + 4h3 + -4h3
100 + -216h + 60h2 + -4h3 = -60h2 + 60h2 + 4h3 + -4h3

Combine like terms: -60h2 + 60h2 = 0
100 + -216h + 60h2 + -4h3 = 0 + 4h3 + -4h3
100 + -216h + 60h2 + -4h3 = 4h3 + -4h3

Combine like terms: 4h3 + -4h3 = 0
100 + -216h + 60h2 + -4h3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + -54h + 15h2 + -1h3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(25 + -54h + 15h2 + -1h3)' equal to zero and attempt to solve:

Simplifying
25 + -54h + 15h2 + -1h3 = 0

Solving
25 + -54h + 15h2 + -1h3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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