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Simplifying 5h3 + -40h2 = 0 Reorder the terms: -40h2 + 5h3 = 0 Solving -40h2 + 5h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '5h2'. 5h2(-8 + h) = 0 Ignore the factor 5.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 '(-8 + h)' equal to zero and attempt to solve: Simplifying -8 + h = 0 Solving -8 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + h = 0 + 8 h = 0 + 8 Combine like terms: 0 + 8 = 8 h = 8 Simplifying h = 8Solution
h = {0, 8}
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