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Simplifying 4h2 + -20h = -25 Reorder the terms: -20h + 4h2 = -25 Solving -20h + 4h2 = -25 Solving for variable 'h'. Reorder the terms: 25 + -20h + 4h2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -20h + 4h2 = 0 Factor a trinomial. (5 + -2h)(5 + -2h) = 0Subproblem 1
Set the factor '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5Subproblem 2
Set the factor '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5Solution
h = {2.5, 2.5}
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