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Simplifying 8h2 + 12h + -140 = 0 Reorder the terms: -140 + 12h + 8h2 = 0 Solving -140 + 12h + 8h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4'. 4(-35 + 3h + 2h2) = 0 Factor a trinomial. 4((-5 + -1h)(7 + -2h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -1h)' equal to zero and attempt to solve: Simplifying -5 + -1h = 0 Solving -5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1h = 0 + 5 -1h = 0 + 5 Combine like terms: 0 + 5 = 5 -1h = 5 Divide each side by '-1'. h = -5 Simplifying h = -5Subproblem 2
Set the factor '(7 + -2h)' equal to zero and attempt to solve: Simplifying 7 + -2h = 0 Solving 7 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2h = 0 + -7 -2h = 0 + -7 Combine like terms: 0 + -7 = -7 -2h = -7 Divide each side by '-2'. h = 3.5 Simplifying h = 3.5Solution
h = {-5, 3.5}
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