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Simplifying (h + 50)(h + 5) = 0 Reorder the terms: (50 + h)(h + 5) = 0 Reorder the terms: (50 + h)(5 + h) = 0 Multiply (50 + h) * (5 + h) (50(5 + h) + h(5 + h)) = 0 ((5 * 50 + h * 50) + h(5 + h)) = 0 ((250 + 50h) + h(5 + h)) = 0 (250 + 50h + (5 * h + h * h)) = 0 (250 + 50h + (5h + h2)) = 0 Combine like terms: 50h + 5h = 55h (250 + 55h + h2) = 0 Solving 250 + 55h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (50 + h)(5 + h) = 0Subproblem 1
Set the factor '(50 + h)' equal to zero and attempt to solve: Simplifying 50 + h = 0 Solving 50 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + h = 0 + -50 Combine like terms: 50 + -50 = 0 0 + h = 0 + -50 h = 0 + -50 Combine like terms: 0 + -50 = -50 h = -50 Simplifying h = -50Subproblem 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 = {-50, -5}
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