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Simplifying 40h5 + -16h3 = 0 Reorder the terms: -16h3 + 40h5 = 0 Solving -16h3 + 40h5 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8h3'. 8h3(-2 + 5h2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'h3' equal to zero and attempt to solve: Simplifying h3 = 0 Solving h3 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h3 = 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 '(-2 + 5h2)' equal to zero and attempt to solve: Simplifying -2 + 5h2 = 0 Solving -2 + 5h2 = 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 + 5h2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5h2 = 0 + 2 5h2 = 0 + 2 Combine like terms: 0 + 2 = 2 5h2 = 2 Divide each side by '5'. h2 = 0.4 Simplifying h2 = 0.4 Take the square root of each side: h = {-0.632455532, 0.632455532}Solution
h = {-0.632455532, 0.632455532}
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