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Simplifying 11h2 + -20h + -4 = 0 Reorder the terms: -4 + -20h + 11h2 = 0 Solving -4 + -20h + 11h2 = 0 Solving for variable 'h'. Factor a trinomial. (-2 + -11h)(2 + -1h) = 0Subproblem 1
Set the factor '(-2 + -11h)' equal to zero and attempt to solve: Simplifying -2 + -11h = 0 Solving -2 + -11h = 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 + -11h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11h = 0 + 2 -11h = 0 + 2 Combine like terms: 0 + 2 = 2 -11h = 2 Divide each side by '-11'. h = -0.1818181818 Simplifying h = -0.1818181818Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 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 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {-0.1818181818, 2}
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