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Simplifying 12h2 + -52h + 40 = 0 Reorder the terms: 40 + -52h + 12h2 = 0 Solving 40 + -52h + 12h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -13h + 3h2) = 0 Factor a trinomial. 4((1 + -1h)(10 + -3h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Subproblem 2
Set the factor '(10 + -3h)' equal to zero and attempt to solve: Simplifying 10 + -3h = 0 Solving 10 + -3h = 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 + -3h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3h = 0 + -10 -3h = 0 + -10 Combine like terms: 0 + -10 = -10 -3h = -10 Divide each side by '-3'. h = 3.333333333 Simplifying h = 3.333333333Solution
h = {1, 3.333333333}
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