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Simplifying 18h2 + 60h + 50 = 0 Reorder the terms: 50 + 60h + 18h2 = 0 Solving 50 + 60h + 18h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 30h + 9h2) = 0 Factor a trinomial. 2((5 + 3h)(5 + 3h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 3h)' equal to zero and attempt to solve: Simplifying 5 + 3h = 0 Solving 5 + 3h = 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 + 3h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3h = 0 + -5 3h = 0 + -5 Combine like terms: 0 + -5 = -5 3h = -5 Divide each side by '3'. h = -1.666666667 Simplifying h = -1.666666667Subproblem 2
Set the factor '(5 + 3h)' equal to zero and attempt to solve: Simplifying 5 + 3h = 0 Solving 5 + 3h = 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 + 3h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3h = 0 + -5 3h = 0 + -5 Combine like terms: 0 + -5 = -5 3h = -5 Divide each side by '3'. h = -1.666666667 Simplifying h = -1.666666667Solution
h = {-1.666666667, -1.666666667}
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