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Simplifying 4(36 + -12h + h2) + -18 + 3h + -1(144 + -18) = 0 (36 * 4 + -12h * 4 + h2 * 4) + -18 + 3h + -1(144 + -18) = 0 (144 + -48h + 4h2) + -18 + 3h + -1(144 + -18) = 0 Combine like terms: 144 + -18 = 126 144 + -48h + 4h2 + -18 + 3h + -1(126) = 0 Multiply -1 * 126 144 + -48h + 4h2 + -18 + 3h + -126 = 0 Reorder the terms: 144 + -18 + -126 + -48h + 3h + 4h2 = 0 Combine like terms: 144 + -18 = 126 126 + -126 + -48h + 3h + 4h2 = 0 Combine like terms: 126 + -126 = 0 0 + -48h + 3h + 4h2 = 0 -48h + 3h + 4h2 = 0 Combine like terms: -48h + 3h = -45h -45h + 4h2 = 0 Solving -45h + 4h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-45 + 4h) = 0Subproblem 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 '(-45 + 4h)' equal to zero and attempt to solve: Simplifying -45 + 4h = 0 Solving -45 + 4h = 0 Move all terms containing h to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 4h = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 4h = 0 + 45 4h = 0 + 45 Combine like terms: 0 + 45 = 45 4h = 45 Divide each side by '4'. h = 11.25 Simplifying h = 11.25Solution
h = {0, 11.25}
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