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Simplifying 8h2 + -108h + 52 = 0 Reorder the terms: 52 + -108h + 8h2 = 0 Solving 52 + -108h + 8h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4'. 4(13 + -27h + 2h2) = 0 Factor a trinomial. 4((1 + -2h)(13 + -1h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2h)' equal to zero and attempt to solve: Simplifying 1 + -2h = 0 Solving 1 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2h = 0 + -1 -2h = 0 + -1 Combine like terms: 0 + -1 = -1 -2h = -1 Divide each side by '-2'. h = 0.5 Simplifying h = 0.5Subproblem 2
Set the factor '(13 + -1h)' equal to zero and attempt to solve: Simplifying 13 + -1h = 0 Solving 13 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1h = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1h = 0 + -13 -1h = 0 + -13 Combine like terms: 0 + -13 = -13 -1h = -13 Divide each side by '-1'. h = 13 Simplifying h = 13Solution
h = {0.5, 13}
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