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Simplifying h2 + -22h = -40 Reorder the terms: -22h + h2 = -40 Solving -22h + h2 = -40 Solving for variable 'h'. Reorder the terms: 40 + -22h + h2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -22h + h2 = 0 Factor a trinomial. (2 + -1h)(20 + -1h) = 0Subproblem 1
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Subproblem 2
Set the factor '(20 + -1h)' equal to zero and attempt to solve: Simplifying 20 + -1h = 0 Solving 20 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1h = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1h = 0 + -20 -1h = 0 + -20 Combine like terms: 0 + -20 = -20 -1h = -20 Divide each side by '-1'. h = 20 Simplifying h = 20Solution
h = {2, 20}
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