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Simplifying 36h + 4h2 = -81 Solving 36h + 4h2 = -81 Solving for variable 'h'. Reorder the terms: 81 + 36h + 4h2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 36h + 4h2 = 0 Factor a trinomial. (9 + 2h)(9 + 2h) = 0Subproblem 1
Set the factor '(9 + 2h)' equal to zero and attempt to solve: Simplifying 9 + 2h = 0 Solving 9 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2h = 0 + -9 2h = 0 + -9 Combine like terms: 0 + -9 = -9 2h = -9 Divide each side by '2'. h = -4.5 Simplifying h = -4.5Subproblem 2
Set the factor '(9 + 2h)' equal to zero and attempt to solve: Simplifying 9 + 2h = 0 Solving 9 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2h = 0 + -9 2h = 0 + -9 Combine like terms: 0 + -9 = -9 2h = -9 Divide each side by '2'. h = -4.5 Simplifying h = -4.5Solution
h = {-4.5, -4.5}
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