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Simplifying 104 = h2 + 5h Reorder the terms: 104 = 5h + h2 Solving 104 = 5h + h2 Solving for variable 'h'. Reorder the terms: 104 + -5h + -1h2 = 5h + -5h + h2 + -1h2 Combine like terms: 5h + -5h = 0 104 + -5h + -1h2 = 0 + h2 + -1h2 104 + -5h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 104 + -5h + -1h2 = 0 Factor a trinomial. (8 + -1h)(13 + 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 '(13 + h)' equal to zero and attempt to solve: Simplifying 13 + h = 0 Solving 13 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + h = 0 + -13 Combine like terms: 13 + -13 = 0 0 + h = 0 + -13 h = 0 + -13 Combine like terms: 0 + -13 = -13 h = -13 Simplifying h = -13Solution
h = {8, -13}
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