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Simplifying 2h2 + h = 6 Reorder the terms: h + 2h2 = 6 Solving h + 2h2 = 6 Solving for variable 'h'. Reorder the terms: -6 + h + 2h2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + h + 2h2 = 0 Factor a trinomial. (-2 + -1h)(3 + -2h) = 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 '(3 + -2h)' equal to zero and attempt to solve: Simplifying 3 + -2h = 0 Solving 3 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2h = 0 + -3 -2h = 0 + -3 Combine like terms: 0 + -3 = -3 -2h = -3 Divide each side by '-2'. h = 1.5 Simplifying h = 1.5Solution
h = {-2, 1.5}
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