4=h(6h-2)(3h-2)

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Solution for 4=h(6h-2)(3h-2) equation: 


Simplifying
4 = h(6h + -2)(3h + -2)

Reorder the terms:
4 = h(-2 + 6h)(3h + -2)

Reorder the terms:
4 = h(-2 + 6h)(-2 + 3h)

Multiply (-2 + 6h) * (-2 + 3h)
4 = h(-2(-2 + 3h) + 6h * (-2 + 3h))
4 = h((-2 * -2 + 3h * -2) + 6h * (-2 + 3h))
4 = h((4 + -6h) + 6h * (-2 + 3h))
4 = h(4 + -6h + (-2 * 6h + 3h * 6h))
4 = h(4 + -6h + (-12h + 18h2))

Combine like terms: -6h + -12h = -18h
4 = h(4 + -18h + 18h2)
4 = (4 * h + -18h * h + 18h2 * h)
4 = (4h + -18h2 + 18h3)

Solving
4 = 4h + -18h2 + 18h3

Solving for variable 'h'.

Reorder the terms:
4 + -4h + 18h2 + -18h3 = 4h + -4h + -18h2 + 18h2 + 18h3 + -18h3

Combine like terms: 4h + -4h = 0
4 + -4h + 18h2 + -18h3 = 0 + -18h2 + 18h2 + 18h3 + -18h3
4 + -4h + 18h2 + -18h3 = -18h2 + 18h2 + 18h3 + -18h3

Combine like terms: -18h2 + 18h2 = 0
4 + -4h + 18h2 + -18h3 = 0 + 18h3 + -18h3
4 + -4h + 18h2 + -18h3 = 18h3 + -18h3

Combine like terms: 18h3 + -18h3 = 0
4 + -4h + 18h2 + -18h3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -2h + 9h2 + -9h3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -2h + 9h2 + -9h3)' equal to zero and attempt to solve:

Simplifying
2 + -2h + 9h2 + -9h3 = 0

Solving
2 + -2h + 9h2 + -9h3 = 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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