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Simplifying 2h2 + 56h = 1920 Reorder the terms: 56h + 2h2 = 1920 Solving 56h + 2h2 = 1920 Solving for variable 'h'. Reorder the terms: -1920 + 56h + 2h2 = 1920 + -1920 Combine like terms: 1920 + -1920 = 0 -1920 + 56h + 2h2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-960 + 28h + h2) = 0 Factor a trinomial. 2((-48 + -1h)(20 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-48 + -1h)' equal to zero and attempt to solve: Simplifying -48 + -1h = 0 Solving -48 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1h = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1h = 0 + 48 -1h = 0 + 48 Combine like terms: 0 + 48 = 48 -1h = 48 Divide each side by '-1'. h = -48 Simplifying h = -48Subproblem 2
Set the factor '(20 + -1h)' equal to zero and attempt to solve: Simplifying 20 + -1h = 0 Solving 20 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1h = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1h = 0 + -20 -1h = 0 + -20 Combine like terms: 0 + -20 = -20 -1h = -20 Divide each side by '-1'. h = 20 Simplifying h = 20Solution
h = {-48, 20}
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