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Simplifying 10h2 + -13h + 4 = 0 Reorder the terms: 4 + -13h + 10h2 = 0 Solving 4 + -13h + 10h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + -2h)(4 + -5h) = 0Subproblem 1
Set the factor '(1 + -2h)' equal to zero and attempt to solve: Simplifying 1 + -2h = 0 Solving 1 + -2h = 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 + -2h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2h = 0 + -1 -2h = 0 + -1 Combine like terms: 0 + -1 = -1 -2h = -1 Divide each side by '-2'. h = 0.5 Simplifying h = 0.5Subproblem 2
Set the factor '(4 + -5h)' equal to zero and attempt to solve: Simplifying 4 + -5h = 0 Solving 4 + -5h = 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 + -5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5h = 0 + -4 -5h = 0 + -4 Combine like terms: 0 + -4 = -4 -5h = -4 Divide each side by '-5'. h = 0.8 Simplifying h = 0.8Solution
h = {0.5, 0.8}
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