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Simplifying 2h2 + -62h + 456 = 0 Reorder the terms: 456 + -62h + 2h2 = 0 Solving 456 + -62h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(228 + -31h + h2) = 0 Factor a trinomial. 2((12 + -1h)(19 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1h)' equal to zero and attempt to solve: Simplifying 12 + -1h = 0 Solving 12 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1h = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1h = 0 + -12 -1h = 0 + -12 Combine like terms: 0 + -12 = -12 -1h = -12 Divide each side by '-1'. h = 12 Simplifying h = 12Subproblem 2
Set the factor '(19 + -1h)' equal to zero and attempt to solve: Simplifying 19 + -1h = 0 Solving 19 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1h = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1h = 0 + -19 -1h = 0 + -19 Combine like terms: 0 + -19 = -19 -1h = -19 Divide each side by '-1'. h = 19 Simplifying h = 19Solution
h = {12, 19}
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