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Simplifying (2h + 8)(h + -3) = 0 Reorder the terms: (8 + 2h)(h + -3) = 0 Reorder the terms: (8 + 2h)(-3 + h) = 0 Multiply (8 + 2h) * (-3 + h) (8(-3 + h) + 2h * (-3 + h)) = 0 ((-3 * 8 + h * 8) + 2h * (-3 + h)) = 0 ((-24 + 8h) + 2h * (-3 + h)) = 0 (-24 + 8h + (-3 * 2h + h * 2h)) = 0 (-24 + 8h + (-6h + 2h2)) = 0 Combine like terms: 8h + -6h = 2h (-24 + 2h + 2h2) = 0 Solving -24 + 2h + 2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + h + h2) = 0 Factor a trinomial. 2((-4 + -1h)(3 + -1h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1h)' equal to zero and attempt to solve: Simplifying -4 + -1h = 0 Solving -4 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1h = 0 + 4 -1h = 0 + 4 Combine like terms: 0 + 4 = 4 -1h = 4 Divide each side by '-1'. h = -4 Simplifying h = -4Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 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 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {-4, 3}
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