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Simplifying 27h2 + 69h + 40 = 0 Reorder the terms: 40 + 69h + 27h2 = 0 Solving 40 + 69h + 27h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + 3h)(8 + 9h) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(8 + 9h)' equal to zero and attempt to solve: Simplifying 8 + 9h = 0 Solving 8 + 9h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9h = 0 + -8 9h = 0 + -8 Combine like terms: 0 + -8 = -8 9h = -8 Divide each side by '9'. h = -0.8888888889 Simplifying h = -0.8888888889Solution
h = {-1.666666667, -0.8888888889}
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