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Simplifying (4h + -8)(6h + 2) = 0 Reorder the terms: (-8 + 4h)(6h + 2) = 0 Reorder the terms: (-8 + 4h)(2 + 6h) = 0 Multiply (-8 + 4h) * (2 + 6h) (-8(2 + 6h) + 4h * (2 + 6h)) = 0 ((2 * -8 + 6h * -8) + 4h * (2 + 6h)) = 0 ((-16 + -48h) + 4h * (2 + 6h)) = 0 (-16 + -48h + (2 * 4h + 6h * 4h)) = 0 (-16 + -48h + (8h + 24h2)) = 0 Combine like terms: -48h + 8h = -40h (-16 + -40h + 24h2) = 0 Solving -16 + -40h + 24h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + -5h + 3h2) = 0 Factor a trinomial. 8((-1 + -3h)(2 + -1h)) = 0 Ignore the factor 8.Subproblem 1
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 = -0.3333333333Subproblem 2
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 = 2Solution
h = {-0.3333333333, 2}
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