h(2h-8)(4h-12)=3136

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Solution for h(2h-8)(4h-12)=3136 equation:


Simplifying
h(2h + -8)(4h + -12) = 3136

Reorder the terms:
h(-8 + 2h)(4h + -12) = 3136

Reorder the terms:
h(-8 + 2h)(-12 + 4h) = 3136

Multiply (-8 + 2h) * (-12 + 4h)
h(-8(-12 + 4h) + 2h * (-12 + 4h)) = 3136
h((-12 * -8 + 4h * -8) + 2h * (-12 + 4h)) = 3136
h((96 + -32h) + 2h * (-12 + 4h)) = 3136
h(96 + -32h + (-12 * 2h + 4h * 2h)) = 3136
h(96 + -32h + (-24h + 8h2)) = 3136

Combine like terms: -32h + -24h = -56h
h(96 + -56h + 8h2) = 3136
(96 * h + -56h * h + 8h2 * h) = 3136
(96h + -56h2 + 8h3) = 3136

Solving
96h + -56h2 + 8h3 = 3136

Solving for variable 'h'.

Reorder the terms:
-3136 + 96h + -56h2 + 8h3 = 3136 + -3136

Combine like terms: 3136 + -3136 = 0
-3136 + 96h + -56h2 + 8h3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-392 + 12h + -7h2 + h3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-392 + 12h + -7h2 + h3)' equal to zero and attempt to solve: Simplifying -392 + 12h + -7h2 + h3 = 0 Solving -392 + 12h + -7h2 + h3 = 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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