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Simplifying h2 + 30h + 225 = 0 Reorder the terms: 225 + 30h + h2 = 0 Solving 225 + 30h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (15 + h)(15 + h) = 0Subproblem 1
Set the factor '(15 + h)' equal to zero and attempt to solve: Simplifying 15 + h = 0 Solving 15 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + h = 0 + -15 Combine like terms: 15 + -15 = 0 0 + h = 0 + -15 h = 0 + -15 Combine like terms: 0 + -15 = -15 h = -15 Simplifying h = -15Subproblem 2
Set the factor '(15 + h)' equal to zero and attempt to solve: Simplifying 15 + h = 0 Solving 15 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + h = 0 + -15 Combine like terms: 15 + -15 = 0 0 + h = 0 + -15 h = 0 + -15 Combine like terms: 0 + -15 = -15 h = -15 Simplifying h = -15Solution
h = {-15, -15}
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