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Simplifying 664 = 4h2 + -48h + 744 Reorder the terms: 664 = 744 + -48h + 4h2 Solving 664 = 744 + -48h + 4h2 Solving for variable 'h'. Combine like terms: 664 + -744 = -80 -80 + 48h + -4h2 = 744 + -48h + 4h2 + -744 + 48h + -4h2 Reorder the terms: -80 + 48h + -4h2 = 744 + -744 + -48h + 48h + 4h2 + -4h2 Combine like terms: 744 + -744 = 0 -80 + 48h + -4h2 = 0 + -48h + 48h + 4h2 + -4h2 -80 + 48h + -4h2 = -48h + 48h + 4h2 + -4h2 Combine like terms: -48h + 48h = 0 -80 + 48h + -4h2 = 0 + 4h2 + -4h2 -80 + 48h + -4h2 = 4h2 + -4h2 Combine like terms: 4h2 + -4h2 = 0 -80 + 48h + -4h2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + 12h + -1h2) = 0 Factor a trinomial. 4((-10 + h)(2 + -1h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + h)' equal to zero and attempt to solve: Simplifying -10 + h = 0 Solving -10 + h = 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 + h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + h = 0 + 10 h = 0 + 10 Combine like terms: 0 + 10 = 10 h = 10 Simplifying h = 10Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {10, 2}
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