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Simplifying 3h2 + -2h + -16 = 0 Reorder the terms: -16 + -2h + 3h2 = 0 Solving -16 + -2h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-2 + -1h)(8 + -3h) = 0Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve: Simplifying -2 + -1h = 0 Solving -2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1h = 0 + 2 -1h = 0 + 2 Combine like terms: 0 + 2 = 2 -1h = 2 Divide each side by '-1'. h = -2 Simplifying h = -2Subproblem 2
Set the factor '(8 + -3h)' equal to zero and attempt to solve: Simplifying 8 + -3h = 0 Solving 8 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3h = 0 + -8 -3h = 0 + -8 Combine like terms: 0 + -8 = -8 -3h = -8 Divide each side by '-3'. h = 2.666666667 Simplifying h = 2.666666667Solution
h = {-2, 2.666666667}
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