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Simplifying 4h2 = -62h + -30 Reorder the terms: 4h2 = -30 + -62h Solving 4h2 = -30 + -62h Solving for variable 'h'. Reorder the terms: 30 + 62h + 4h2 = -30 + -62h + 30 + 62h Reorder the terms: 30 + 62h + 4h2 = -30 + 30 + -62h + 62h Combine like terms: -30 + 30 = 0 30 + 62h + 4h2 = 0 + -62h + 62h 30 + 62h + 4h2 = -62h + 62h Combine like terms: -62h + 62h = 0 30 + 62h + 4h2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 31h + 2h2) = 0 Factor a trinomial. 2((15 + h)(1 + 2h)) = 0 Ignore the factor 2.Subproblem 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 '(1 + 2h)' equal to zero and attempt to solve: Simplifying 1 + 2h = 0 Solving 1 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2h = 0 + -1 2h = 0 + -1 Combine like terms: 0 + -1 = -1 2h = -1 Divide each side by '2'. h = -0.5 Simplifying h = -0.5Solution
h = {-15, -0.5}
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