60h^5=49h^7

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Solution for 60h^5=49h^7 equation:


Simplifying
60h5 = 49h7

Solving
60h5 = 49h7

Solving for variable 'h'.

Combine like terms: 49h7 + -49h7 = 0
60h5 + -49h7 = 0

Factor out the Greatest Common Factor (GCF), 'h5'.
h5(60 + -49h2) = 0

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 '(60 + -49h2)' equal to zero and attempt to solve: Simplifying 60 + -49h2 = 0 Solving 60 + -49h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -49h2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -49h2 = 0 + -60 -49h2 = 0 + -60 Combine like terms: 0 + -60 = -60 -49h2 = -60 Divide each side by '-49'. h2 = 1.224489796 Simplifying h2 = 1.224489796 Take the square root of each side: h = {-1.10656667, 1.10656667}

Solution

h = {-1.10656667, 1.10656667}

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