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Simplifying 12h2 + -1h + -35 = 0 Reorder the terms: -35 + -1h + 12h2 = 0 Solving -35 + -1h + 12h2 = 0 Solving for variable 'h'. Factor a trinomial. (-5 + -3h)(7 + -4h) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(7 + -4h)' equal to zero and attempt to solve: Simplifying 7 + -4h = 0 Solving 7 + -4h = 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 + -4h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4h = 0 + -7 -4h = 0 + -7 Combine like terms: 0 + -7 = -7 -4h = -7 Divide each side by '-4'. h = 1.75 Simplifying h = 1.75Solution
h = {-1.666666667, 1.75}
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