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Simplifying 88 = h2 + 3h Reorder the terms: 88 = 3h + h2 Solving 88 = 3h + h2 Solving for variable 'h'. Reorder the terms: 88 + -3h + -1h2 = 3h + -3h + h2 + -1h2 Combine like terms: 3h + -3h = 0 88 + -3h + -1h2 = 0 + h2 + -1h2 88 + -3h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 88 + -3h + -1h2 = 0 Factor a trinomial. (8 + -1h)(11 + h) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(11 + h)' equal to zero and attempt to solve: Simplifying 11 + h = 0 Solving 11 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + h = 0 + -11 Combine like terms: 11 + -11 = 0 0 + h = 0 + -11 h = 0 + -11 Combine like terms: 0 + -11 = -11 h = -11 Simplifying h = -11Solution
h = {8, -11}
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