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Simplifying (2h + -2)(3h + -2) = 0 Reorder the terms: (-2 + 2h)(3h + -2) = 0 Reorder the terms: (-2 + 2h)(-2 + 3h) = 0 Multiply (-2 + 2h) * (-2 + 3h) (-2(-2 + 3h) + 2h * (-2 + 3h)) = 0 ((-2 * -2 + 3h * -2) + 2h * (-2 + 3h)) = 0 ((4 + -6h) + 2h * (-2 + 3h)) = 0 (4 + -6h + (-2 * 2h + 3h * 2h)) = 0 (4 + -6h + (-4h + 6h2)) = 0 Combine like terms: -6h + -4h = -10h (4 + -10h + 6h2) = 0 Solving 4 + -10h + 6h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -5h + 3h2) = 0 Factor a trinomial. 2((2 + -3h)(1 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3h)' equal to zero and attempt to solve: Simplifying 2 + -3h = 0 Solving 2 + -3h = 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 + -3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3h = 0 + -2 -3h = 0 + -2 Combine like terms: 0 + -2 = -2 -3h = -2 Divide each side by '-3'. h = 0.6666666667 Simplifying h = 0.6666666667Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Solution
h = {0.6666666667, 1}
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