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Simplifying 3h(h) + 2h + -16 = 0 Multiply h * h 3h2 + 2h + -16 = 0 Reorder the terms: -16 + 2h + 3h2 = 0 Solving -16 + 2h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-8 + -3h)(2 + -1h) = 0Subproblem 1
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 = -2.666666667Subproblem 2
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 = 2Solution
h = {-2.666666667, 2}
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