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Simplifying 16h2 + 72h + 81 = 0 Reorder the terms: 81 + 72h + 16h2 = 0 Solving 81 + 72h + 16h2 = 0 Solving for variable 'h'. Factor a trinomial. (9 + 4h)(9 + 4h) = 0Subproblem 1
Set the factor '(9 + 4h)' equal to zero and attempt to solve: Simplifying 9 + 4h = 0 Solving 9 + 4h = 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 + 4h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4h = 0 + -9 4h = 0 + -9 Combine like terms: 0 + -9 = -9 4h = -9 Divide each side by '4'. h = -2.25 Simplifying h = -2.25Subproblem 2
Set the factor '(9 + 4h)' equal to zero and attempt to solve: Simplifying 9 + 4h = 0 Solving 9 + 4h = 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 + 4h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4h = 0 + -9 4h = 0 + -9 Combine like terms: 0 + -9 = -9 4h = -9 Divide each side by '4'. h = -2.25 Simplifying h = -2.25Solution
h = {-2.25, -2.25}
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