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Simplifying 3h2 + -8h + -16 = 0 Reorder the terms: -16 + -8h + 3h2 = 0 Solving -16 + -8h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-4 + -3h)(4 + -1h) = 0Subproblem 1
Set the factor '(-4 + -3h)' equal to zero and attempt to solve: Simplifying -4 + -3h = 0 Solving -4 + -3h = 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 + -3h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3h = 0 + 4 -3h = 0 + 4 Combine like terms: 0 + 4 = 4 -3h = 4 Divide each side by '-3'. h = -1.333333333 Simplifying h = -1.333333333Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 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 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Solution
h = {-1.333333333, 4}
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