60h^5=48h^7

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Solution for 60h^5=48h^7 equation:


Simplifying
60h5 = 48h7

Solving
60h5 = 48h7

Solving for variable 'h'.

Combine like terms: 48h7 + -48h7 = 0
60h5 + -48h7 = 0

Factor out the Greatest Common Factor (GCF), '12h5'.
12h5(5 + -4h2) = 0

Ignore the factor 12.

Subproblem 1

Set the factor 'h5' equal to zero and attempt to solve: Simplifying h5 = 0 Solving h5 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h5 = 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 '(5 + -4h2)' equal to zero and attempt to solve: Simplifying 5 + -4h2 = 0 Solving 5 + -4h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4h2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4h2 = 0 + -5 -4h2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4h2 = -5 Divide each side by '-4'. h2 = 1.25 Simplifying h2 = 1.25 Take the square root of each side: h = {-1.118033989, 1.118033989}

Solution

h = {-1.118033989, 1.118033989}

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