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Simplifying (2h + -5)(6h + 17) = 0 Reorder the terms: (-5 + 2h)(6h + 17) = 0 Reorder the terms: (-5 + 2h)(17 + 6h) = 0 Multiply (-5 + 2h) * (17 + 6h) (-5(17 + 6h) + 2h * (17 + 6h)) = 0 ((17 * -5 + 6h * -5) + 2h * (17 + 6h)) = 0 ((-85 + -30h) + 2h * (17 + 6h)) = 0 (-85 + -30h + (17 * 2h + 6h * 2h)) = 0 (-85 + -30h + (34h + 12h2)) = 0 Combine like terms: -30h + 34h = 4h (-85 + 4h + 12h2) = 0 Solving -85 + 4h + 12h2 = 0 Solving for variable 'h'. Factor a trinomial. (-17 + -6h)(5 + -2h) = 0Subproblem 1
Set the factor '(-17 + -6h)' equal to zero and attempt to solve: Simplifying -17 + -6h = 0 Solving -17 + -6h = 0 Move all terms containing h to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6h = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6h = 0 + 17 -6h = 0 + 17 Combine like terms: 0 + 17 = 17 -6h = 17 Divide each side by '-6'. h = -2.833333333 Simplifying h = -2.833333333Subproblem 2
Set the factor '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5Solution
h = {-2.833333333, 2.5}
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