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Simplifying 8h2 + 12h + -4896 = 0 Reorder the terms: -4896 + 12h + 8h2 = 0 Solving -4896 + 12h + 8h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1224 + 3h + 2h2) = 0 Factor a trinomial. 4((-51 + -2h)(24 + -1h)) = 0 Ignore the factor 4.Subproblem 1
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 = -25.5Subproblem 2
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 = 24Solution
h = {-25.5, 24}
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