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Simplifying 2h2 + 24h + 72 = 0 Reorder the terms: 72 + 24h + 2h2 = 0 Solving 72 + 24h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + 12h + h2) = 0 Factor a trinomial. 2((6 + h)(6 + h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Subproblem 2
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Solution
h = {-6, -6}
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