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Simplifying (2h + -2)(h + -9) = 0 Reorder the terms: (-2 + 2h)(h + -9) = 0 Reorder the terms: (-2 + 2h)(-9 + h) = 0 Multiply (-2 + 2h) * (-9 + h) (-2(-9 + h) + 2h * (-9 + h)) = 0 ((-9 * -2 + h * -2) + 2h * (-9 + h)) = 0 ((18 + -2h) + 2h * (-9 + h)) = 0 (18 + -2h + (-9 * 2h + h * 2h)) = 0 (18 + -2h + (-18h + 2h2)) = 0 Combine like terms: -2h + -18h = -20h (18 + -20h + 2h2) = 0 Solving 18 + -20h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -10h + h2) = 0 Factor a trinomial. 2((1 + -1h)(9 + -1h)) = 0 Ignore the factor 2.Subproblem 1
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 = 1Subproblem 2
Set the factor '(9 + -1h)' equal to zero and attempt to solve: Simplifying 9 + -1h = 0 Solving 9 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1h = 0 + -9 -1h = 0 + -9 Combine like terms: 0 + -9 = -9 -1h = -9 Divide each side by '-1'. h = 9 Simplifying h = 9Solution
h = {1, 9}
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