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Simplifying 18h2 + 24h + 8 = 0 Reorder the terms: 8 + 24h + 18h2 = 0 Solving 8 + 24h + 18h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 12h + 9h2) = 0 Factor a trinomial. 2((2 + 3h)(2 + 3h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 3h)' equal to zero and attempt to solve: Simplifying 2 + 3h = 0 Solving 2 + 3h = 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 + 3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3h = 0 + -2 3h = 0 + -2 Combine like terms: 0 + -2 = -2 3h = -2 Divide each side by '3'. h = -0.6666666667 Simplifying h = -0.6666666667Subproblem 2
Set the factor '(2 + 3h)' equal to zero and attempt to solve: Simplifying 2 + 3h = 0 Solving 2 + 3h = 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 + 3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3h = 0 + -2 3h = 0 + -2 Combine like terms: 0 + -2 = -2 3h = -2 Divide each side by '3'. h = -0.6666666667 Simplifying h = -0.6666666667Solution
h = {-0.6666666667, -0.6666666667}
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