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Simplifying 10h + -1h2 = 9 Solving 10h + -1h2 = 9 Solving for variable 'h'. Reorder the terms: -9 + 10h + -1h2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 10h + -1h2 = 0 Factor a trinomial. (-9 + h)(1 + -1h) = 0Subproblem 1
Set the factor '(-9 + h)' equal to zero and attempt to solve: Simplifying -9 + h = 0 Solving -9 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + h = 0 + 9 Combine like terms: -9 + 9 = 0 0 + h = 0 + 9 h = 0 + 9 Combine like terms: 0 + 9 = 9 h = 9 Simplifying h = 9Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {9, 1}
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