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Simplifying 18h2 + -27h + -5 = 0 Reorder the terms: -5 + -27h + 18h2 = 0 Solving -5 + -27h + 18h2 = 0 Solving for variable 'h'. Factor a trinomial. (-1 + -6h)(5 + -3h) = 0Subproblem 1
Set the factor '(-1 + -6h)' equal to zero and attempt to solve: Simplifying -1 + -6h = 0 Solving -1 + -6h = 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 + -6h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6h = 0 + 1 -6h = 0 + 1 Combine like terms: 0 + 1 = 1 -6h = 1 Divide each side by '-6'. h = -0.1666666667 Simplifying h = -0.1666666667Subproblem 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 = {-0.1666666667, 1.666666667}
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