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Simplifying 3h2 + 11h + -14 = 0 Reorder the terms: -14 + 11h + 3h2 = 0 Solving -14 + 11h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-14 + -3h)(1 + -1h) = 0Subproblem 1
Set the factor '(-14 + -3h)' equal to zero and attempt to solve: Simplifying -14 + -3h = 0 Solving -14 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3h = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3h = 0 + 14 -3h = 0 + 14 Combine like terms: 0 + 14 = 14 -3h = 14 Divide each side by '-3'. h = -4.666666667 Simplifying h = -4.666666667Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {-4.666666667, 1}
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