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Simplifying 8h2 + -2h + -3 = 63 Reorder the terms: -3 + -2h + 8h2 = 63 Solving -3 + -2h + 8h2 = 63 Solving for variable 'h'. Reorder the terms: -3 + -63 + -2h + 8h2 = 63 + -63 Combine like terms: -3 + -63 = -66 -66 + -2h + 8h2 = 63 + -63 Combine like terms: 63 + -63 = 0 -66 + -2h + 8h2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + -1h + 4h2) = 0 Factor a trinomial. 2((-11 + -4h)(3 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -4h)' equal to zero and attempt to solve: Simplifying -11 + -4h = 0 Solving -11 + -4h = 0 Move all terms containing h to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4h = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4h = 0 + 11 -4h = 0 + 11 Combine like terms: 0 + 11 = 11 -4h = 11 Divide each side by '-4'. h = -2.75 Simplifying h = -2.75Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {-2.75, 3}
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