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Simplifying h2 + 14h = -45 Reorder the terms: 14h + h2 = -45 Solving 14h + h2 = -45 Solving for variable 'h'. Reorder the terms: 45 + 14h + h2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + 14h + h2 = 0 Factor a trinomial. (9 + h)(5 + h) = 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 '(5 + h)' equal to zero and attempt to solve: Simplifying 5 + h = 0 Solving 5 + h = 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 + h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + h = 0 + -5 h = 0 + -5 Combine like terms: 0 + -5 = -5 h = -5 Simplifying h = -5Solution
h = {-9, -5}
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