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Simplifying 0 = 8h2 + 12h + -4896 Reorder the terms: 0 = -4896 + 12h + 8h2 Solving 0 = -4896 + 12h + 8h2 Solving for variable 'h'. Combine like terms: 0 + 4896 = 4896 4896 + -12h + -8h2 = -4896 + 12h + 8h2 + 4896 + -12h + -8h2 Reorder the terms: 4896 + -12h + -8h2 = -4896 + 4896 + 12h + -12h + 8h2 + -8h2 Combine like terms: -4896 + 4896 = 0 4896 + -12h + -8h2 = 0 + 12h + -12h + 8h2 + -8h2 4896 + -12h + -8h2 = 12h + -12h + 8h2 + -8h2 Combine like terms: 12h + -12h = 0 4896 + -12h + -8h2 = 0 + 8h2 + -8h2 4896 + -12h + -8h2 = 8h2 + -8h2 Combine like terms: 8h2 + -8h2 = 0 4896 + -12h + -8h2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1224 + -3h + -2h2) = 0 Factor a trinomial. 4((24 + -1h)(51 + 2h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + -1h)' equal to zero and attempt to solve: Simplifying 24 + -1h = 0 Solving 24 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1h = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1h = 0 + -24 -1h = 0 + -24 Combine like terms: 0 + -24 = -24 -1h = -24 Divide each side by '-1'. h = 24 Simplifying h = 24Subproblem 2
Set the factor '(51 + 2h)' equal to zero and attempt to solve: Simplifying 51 + 2h = 0 Solving 51 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 2h = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 2h = 0 + -51 2h = 0 + -51 Combine like terms: 0 + -51 = -51 2h = -51 Divide each side by '2'. h = -25.5 Simplifying h = -25.5Solution
h = {24, -25.5}
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