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Simplifying h2 + 9h = 112 Reorder the terms: 9h + h2 = 112 Solving 9h + h2 = 112 Solving for variable 'h'. Reorder the terms: -112 + 9h + h2 = 112 + -112 Combine like terms: 112 + -112 = 0 -112 + 9h + h2 = 0 Factor a trinomial. (-16 + -1h)(7 + -1h) = 0Subproblem 1
Set the factor '(-16 + -1h)' equal to zero and attempt to solve: Simplifying -16 + -1h = 0 Solving -16 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1h = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1h = 0 + 16 -1h = 0 + 16 Combine like terms: 0 + 16 = 16 -1h = 16 Divide each side by '-1'. h = -16 Simplifying h = -16Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Solution
h = {-16, 7}
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