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Simplifying 0 = h2 + 5h + -84 Reorder the terms: 0 = -84 + 5h + h2 Solving 0 = -84 + 5h + h2 Solving for variable 'h'. Combine like terms: 0 + 84 = 84 84 + -5h + -1h2 = -84 + 5h + h2 + 84 + -5h + -1h2 Reorder the terms: 84 + -5h + -1h2 = -84 + 84 + 5h + -5h + h2 + -1h2 Combine like terms: -84 + 84 = 0 84 + -5h + -1h2 = 0 + 5h + -5h + h2 + -1h2 84 + -5h + -1h2 = 5h + -5h + h2 + -1h2 Combine like terms: 5h + -5h = 0 84 + -5h + -1h2 = 0 + h2 + -1h2 84 + -5h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 84 + -5h + -1h2 = 0 Factor a trinomial. (7 + -1h)(12 + h) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(12 + h)' equal to zero and attempt to solve: Simplifying 12 + h = 0 Solving 12 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + h = 0 + -12 h = 0 + -12 Combine like terms: 0 + -12 = -12 h = -12 Simplifying h = -12Solution
h = {7, -12}
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