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Simplifying 48h2 + -86h + 35 = 0 Reorder the terms: 35 + -86h + 48h2 = 0 Solving 35 + -86h + 48h2 = 0 Solving for variable 'h'. Factor a trinomial. (5 + -8h)(7 + -6h) = 0Subproblem 1
Set the factor '(5 + -8h)' equal to zero and attempt to solve: Simplifying 5 + -8h = 0 Solving 5 + -8h = 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 + -8h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8h = 0 + -5 -8h = 0 + -5 Combine like terms: 0 + -5 = -5 -8h = -5 Divide each side by '-8'. h = 0.625 Simplifying h = 0.625Subproblem 2
Set the factor '(7 + -6h)' equal to zero and attempt to solve: Simplifying 7 + -6h = 0 Solving 7 + -6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6h = 0 + -7 -6h = 0 + -7 Combine like terms: 0 + -7 = -7 -6h = -7 Divide each side by '-6'. h = 1.166666667 Simplifying h = 1.166666667Solution
h = {0.625, 1.166666667}
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