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Simplifying 0 = 3h2 + 24h + -540 Reorder the terms: 0 = -540 + 24h + 3h2 Solving 0 = -540 + 24h + 3h2 Solving for variable 'h'. Combine like terms: 0 + 540 = 540 540 + -24h + -3h2 = -540 + 24h + 3h2 + 540 + -24h + -3h2 Reorder the terms: 540 + -24h + -3h2 = -540 + 540 + 24h + -24h + 3h2 + -3h2 Combine like terms: -540 + 540 = 0 540 + -24h + -3h2 = 0 + 24h + -24h + 3h2 + -3h2 540 + -24h + -3h2 = 24h + -24h + 3h2 + -3h2 Combine like terms: 24h + -24h = 0 540 + -24h + -3h2 = 0 + 3h2 + -3h2 540 + -24h + -3h2 = 3h2 + -3h2 Combine like terms: 3h2 + -3h2 = 0 540 + -24h + -3h2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(180 + -8h + -1h2) = 0 Factor a trinomial. 3((10 + -1h)(18 + h)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + -1h)' equal to zero and attempt to solve: Simplifying 10 + -1h = 0 Solving 10 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1h = 0 + -10 -1h = 0 + -10 Combine like terms: 0 + -10 = -10 -1h = -10 Divide each side by '-1'. h = 10 Simplifying h = 10Subproblem 2
Set the factor '(18 + h)' equal to zero and attempt to solve: Simplifying 18 + h = 0 Solving 18 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + h = 0 + -18 Combine like terms: 18 + -18 = 0 0 + h = 0 + -18 h = 0 + -18 Combine like terms: 0 + -18 = -18 h = -18 Simplifying h = -18Solution
h = {10, -18}
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