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Simplifying 2h2 + -28h + 48 = 0 Reorder the terms: 48 + -28h + 2h2 = 0 Solving 48 + -28h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -14h + h2) = 0 Factor a trinomial. 2((2 + -1h)(12 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Subproblem 2
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 = 12Solution
h = {2, 12}
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