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Simplifying 12h2 + 40h + 32 = 0 Reorder the terms: 32 + 40h + 12h2 = 0 Solving 32 + 40h + 12h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 10h + 3h2) = 0 Factor a trinomial. 4((2 + h)(4 + 3h)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + h)' equal to zero and attempt to solve: Simplifying 2 + h = 0 Solving 2 + h = 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 + h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + h = 0 + -2 h = 0 + -2 Combine like terms: 0 + -2 = -2 h = -2 Simplifying h = -2Subproblem 2
Set the factor '(4 + 3h)' equal to zero and attempt to solve: Simplifying 4 + 3h = 0 Solving 4 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3h = 0 + -4 3h = 0 + -4 Combine like terms: 0 + -4 = -4 3h = -4 Divide each side by '3'. h = -1.333333333 Simplifying h = -1.333333333Solution
h = {-2, -1.333333333}
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