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Simplifying 0 = 3h2 + 48h + -2160 Reorder the terms: 0 = -2160 + 48h + 3h2 Solving 0 = -2160 + 48h + 3h2 Solving for variable 'h'. Combine like terms: 0 + 2160 = 2160 2160 + -48h + -3h2 = -2160 + 48h + 3h2 + 2160 + -48h + -3h2 Reorder the terms: 2160 + -48h + -3h2 = -2160 + 2160 + 48h + -48h + 3h2 + -3h2 Combine like terms: -2160 + 2160 = 0 2160 + -48h + -3h2 = 0 + 48h + -48h + 3h2 + -3h2 2160 + -48h + -3h2 = 48h + -48h + 3h2 + -3h2 Combine like terms: 48h + -48h = 0 2160 + -48h + -3h2 = 0 + 3h2 + -3h2 2160 + -48h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 2160 + -48h + -3h2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(720 + -16h + -1h2) = 0 Factor a trinomial. 3((20 + -1h)(36 + h)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20 + -1h)' equal to zero and attempt to solve: Simplifying 20 + -1h = 0 Solving 20 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1h = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1h = 0 + -20 -1h = 0 + -20 Combine like terms: 0 + -20 = -20 -1h = -20 Divide each side by '-1'. h = 20 Simplifying h = 20Subproblem 2
Set the factor '(36 + h)' equal to zero and attempt to solve: Simplifying 36 + h = 0 Solving 36 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + h = 0 + -36 Combine like terms: 36 + -36 = 0 0 + h = 0 + -36 h = 0 + -36 Combine like terms: 0 + -36 = -36 h = -36 Simplifying h = -36Solution
h = {20, -36}
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