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Simplifying h2 + 6h + -112 = 0 Reorder the terms: -112 + 6h + h2 = 0 Solving -112 + 6h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-14 + -1h)(8 + -1h) = 0Subproblem 1
Set the factor '(-14 + -1h)' equal to zero and attempt to solve: Simplifying -14 + -1h = 0 Solving -14 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1h = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1h = 0 + 14 -1h = 0 + 14 Combine like terms: 0 + 14 = 14 -1h = 14 Divide each side by '-1'. h = -14 Simplifying h = -14Subproblem 2
Set the factor '(8 + -1h)' equal to zero and attempt to solve: Simplifying 8 + -1h = 0 Solving 8 + -1h = 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 + -1h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1h = 0 + -8 -1h = 0 + -8 Combine like terms: 0 + -8 = -8 -1h = -8 Divide each side by '-1'. h = 8 Simplifying h = 8Solution
h = {-14, 8}
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