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Simplifying h2 + -27h + 50 = 0 Reorder the terms: 50 + -27h + h2 = 0 Solving 50 + -27h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (2 + -1h)(25 + -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 '(25 + -1h)' equal to zero and attempt to solve: Simplifying 25 + -1h = 0 Solving 25 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1h = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1h = 0 + -25 -1h = 0 + -25 Combine like terms: 0 + -25 = -25 -1h = -25 Divide each side by '-1'. h = 25 Simplifying h = 25Solution
h = {2, 25}
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