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Simplifying 9h2 + 24h + -560 = 0 Reorder the terms: -560 + 24h + 9h2 = 0 Solving -560 + 24h + 9h2 = 0 Solving for variable 'h'. Factor a trinomial. (-28 + -3h)(20 + -3h) = 0Subproblem 1
Set the factor '(-28 + -3h)' equal to zero and attempt to solve: Simplifying -28 + -3h = 0 Solving -28 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -3h = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3h = 0 + 28 -3h = 0 + 28 Combine like terms: 0 + 28 = 28 -3h = 28 Divide each side by '-3'. h = -9.333333333 Simplifying h = -9.333333333Subproblem 2
Set the factor '(20 + -3h)' equal to zero and attempt to solve: Simplifying 20 + -3h = 0 Solving 20 + -3h = 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 + -3h = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3h = 0 + -20 -3h = 0 + -20 Combine like terms: 0 + -20 = -20 -3h = -20 Divide each side by '-3'. h = 6.666666667 Simplifying h = 6.666666667Solution
h = {-9.333333333, 6.666666667}
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