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Simplifying 27h2 = 48h Solving 27h2 = 48h Solving for variable 'h'. Reorder the terms: -48h + 27h2 = 48h + -48h Combine like terms: 48h + -48h = 0 -48h + 27h2 = 0 Factor out the Greatest Common Factor (GCF), '3h'. 3h(-16 + 9h) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(-16 + 9h)' equal to zero and attempt to solve: Simplifying -16 + 9h = 0 Solving -16 + 9h = 0 Move all terms containing h to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9h = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9h = 0 + 16 9h = 0 + 16 Combine like terms: 0 + 16 = 16 9h = 16 Divide each side by '9'. h = 1.777777778 Simplifying h = 1.777777778Solution
h = {0, 1.777777778}
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