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Simplifying 12h3 + -20h2 = 0 Reorder the terms: -20h2 + 12h3 = 0 Solving -20h2 + 12h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4h2'. 4h2(-5 + 3h) = 0 Ignore the factor 4.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 '(-5 + 3h)' equal to zero and attempt to solve: Simplifying -5 + 3h = 0 Solving -5 + 3h = 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 + 3h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3h = 0 + 5 3h = 0 + 5 Combine like terms: 0 + 5 = 5 3h = 5 Divide each side by '3'. h = 1.666666667 Simplifying h = 1.666666667Solution
h = {0, 1.666666667}
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