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Simplifying 8h2 + -24h + 250 = 570 Reorder the terms: 250 + -24h + 8h2 = 570 Solving 250 + -24h + 8h2 = 570 Solving for variable 'h'. Reorder the terms: 250 + -570 + -24h + 8h2 = 570 + -570 Combine like terms: 250 + -570 = -320 -320 + -24h + 8h2 = 570 + -570 Combine like terms: 570 + -570 = 0 -320 + -24h + 8h2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-40 + -3h + h2) = 0 Factor a trinomial. 8((-5 + -1h)(8 + -1h)) = 0 Ignore the factor 8.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 '(8 + -1h)' equal to zero and attempt to solve: Simplifying 8 + -1h = 0 Solving 8 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1h = 0 + -8 -1h = 0 + -8 Combine like terms: 0 + -8 = -8 -1h = -8 Divide each side by '-1'. h = 8 Simplifying h = 8Solution
h = {-5, 8}
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