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Simplifying 12h2 = 29h + -15 Reorder the terms: 12h2 = -15 + 29h Solving 12h2 = -15 + 29h Solving for variable 'h'. Reorder the terms: 15 + -29h + 12h2 = -15 + 29h + 15 + -29h Reorder the terms: 15 + -29h + 12h2 = -15 + 15 + 29h + -29h Combine like terms: -15 + 15 = 0 15 + -29h + 12h2 = 0 + 29h + -29h 15 + -29h + 12h2 = 29h + -29h Combine like terms: 29h + -29h = 0 15 + -29h + 12h2 = 0 Factor a trinomial. (3 + -4h)(5 + -3h) = 0Subproblem 1
Set the factor '(3 + -4h)' equal to zero and attempt to solve: Simplifying 3 + -4h = 0 Solving 3 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4h = 0 + -3 -4h = 0 + -3 Combine like terms: 0 + -3 = -3 -4h = -3 Divide each side by '-4'. h = 0.75 Simplifying h = 0.75Subproblem 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 = {0.75, 1.666666667}
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