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Simplifying h2 + 5h + 15 = 15 Reorder the terms: 15 + 5h + h2 = 15 Add '-15' to each side of the equation. 15 + 5h + -15 + h2 = 15 + -15 Reorder the terms: 15 + -15 + 5h + h2 = 15 + -15 Combine like terms: 15 + -15 = 0 0 + 5h + h2 = 15 + -15 5h + h2 = 15 + -15 Combine like terms: 15 + -15 = 0 5h + h2 = 0 Solving 5h + h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(5 + h) = 0Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 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 = {0, -5}
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