6hk^3(2h^2k-hk^3+4h^2k^2)=0

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Solution for 6hk^3(2h^2k-hk^3+4h^2k^2)=0 equation:


Simplifying
6hk3(2h2k + -1hk3 + 4h2k2) = 0

Reorder the terms:
6hk3(-1hk3 + 2h2k + 4h2k2) = 0
(-1hk3 * 6hk3 + 2h2k * 6hk3 + 4h2k2 * 6hk3) = 0
(-6h2k6 + 12h3k4 + 24h3k5) = 0

Solving
-6h2k6 + 12h3k4 + 24h3k5 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '6h2k4'.
6h2k4(-1k2 + 2h + 4hk) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'h2k4' equal to zero and attempt to solve: Simplifying h2k4 = 0 Solving h2k4 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2k4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1k2 + 2h + 4hk)' equal to zero and attempt to solve: Simplifying -1k2 + 2h + 4hk = 0 Reorder the terms: 2h + 4hk + -1k2 = 0 Solving 2h + 4hk + -1k2 = 0 Move all terms containing h to the left, all other terms to the right. Add 'k2' to each side of the equation. 2h + 4hk + -1k2 + k2 = 0 + k2 Combine like terms: -1k2 + k2 = 0 2h + 4hk + 0 = 0 + k2 2h + 4hk = 0 + k2 Remove the zero: 2h + 4hk = k2 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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