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Simplifying 3h2 + 5h + -2 = 0 Reorder the terms: -2 + 5h + 3h2 = 0 Solving -2 + 5h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-2 + -1h)(1 + -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 '(1 + -3h)' equal to zero and attempt to solve: Simplifying 1 + -3h = 0 Solving 1 + -3h = 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 + -3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3h = 0 + -1 -3h = 0 + -1 Combine like terms: 0 + -1 = -1 -3h = -1 Divide each side by '-3'. h = 0.3333333333 Simplifying h = 0.3333333333Solution
h = {-2, 0.3333333333}
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