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Simplifying 91 = h(2h + -1) Reorder the terms: 91 = h(-1 + 2h) 91 = (-1 * h + 2h * h) 91 = (-1h + 2h2) Solving 91 = -1h + 2h2 Solving for variable 'h'. Reorder the terms: 91 + h + -2h2 = -1h + h + 2h2 + -2h2 Combine like terms: -1h + h = 0 91 + h + -2h2 = 0 + 2h2 + -2h2 91 + h + -2h2 = 2h2 + -2h2 Combine like terms: 2h2 + -2h2 = 0 91 + h + -2h2 = 0 Factor a trinomial. (7 + -1h)(13 + 2h) = 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 '(13 + 2h)' equal to zero and attempt to solve: Simplifying 13 + 2h = 0 Solving 13 + 2h = 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 + 2h = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2h = 0 + -13 2h = 0 + -13 Combine like terms: 0 + -13 = -13 2h = -13 Divide each side by '2'. h = -6.5 Simplifying h = -6.5Solution
h = {7, -6.5}
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