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Simplifying 8h2 + 24h + -560 = 0 Reorder the terms: -560 + 24h + 8h2 = 0 Solving -560 + 24h + 8h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8'. 8(-70 + 3h + h2) = 0 Factor a trinomial. 8((-10 + -1h)(7 + -1h)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-10 + -1h)' equal to zero and attempt to solve: Simplifying -10 + -1h = 0 Solving -10 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1h = 0 + 10 -1h = 0 + 10 Combine like terms: 0 + 10 = 10 -1h = 10 Divide each side by '-1'. h = -10 Simplifying h = -10Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 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 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Solution
h = {-10, 7}
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