6h^5=12h^2

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Solution for 6h^5=12h^2 equation:


Simplifying
6h5 = 12h2

Solving
6h5 = 12h2

Solving for variable 'h'.

Reorder the terms:
-12h2 + 6h5 = 12h2 + -12h2

Combine like terms: 12h2 + -12h2 = 0
-12h2 + 6h5 = 0

Factor out the Greatest Common Factor (GCF), '6h2'.
6h2(-2 + h3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'h2' equal to zero and attempt to solve: Simplifying h2 = 0 Solving h2 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2 = 0 Take the square root of each side: h = {0}

Subproblem 2

Set the factor '(-2 + h3)' equal to zero and attempt to solve: Simplifying -2 + h3 = 0 Solving -2 + h3 = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + h3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + h3 = 0 + 2 h3 = 0 + 2 Combine like terms: 0 + 2 = 2 h3 = 2 Simplifying h3 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

h = {0}

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