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Simplifying (5h + -1)(3h + 7) = 0 Reorder the terms: (-1 + 5h)(3h + 7) = 0 Reorder the terms: (-1 + 5h)(7 + 3h) = 0 Multiply (-1 + 5h) * (7 + 3h) (-1(7 + 3h) + 5h * (7 + 3h)) = 0 ((7 * -1 + 3h * -1) + 5h * (7 + 3h)) = 0 ((-7 + -3h) + 5h * (7 + 3h)) = 0 (-7 + -3h + (7 * 5h + 3h * 5h)) = 0 (-7 + -3h + (35h + 15h2)) = 0 Combine like terms: -3h + 35h = 32h (-7 + 32h + 15h2) = 0 Solving -7 + 32h + 15h2 = 0 Solving for variable 'h'. Factor a trinomial. (-7 + -3h)(1 + -5h) = 0Subproblem 1
Set the factor '(-7 + -3h)' equal to zero and attempt to solve: Simplifying -7 + -3h = 0 Solving -7 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3h = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3h = 0 + 7 -3h = 0 + 7 Combine like terms: 0 + 7 = 7 -3h = 7 Divide each side by '-3'. h = -2.333333333 Simplifying h = -2.333333333Subproblem 2
Set the factor '(1 + -5h)' equal to zero and attempt to solve: Simplifying 1 + -5h = 0 Solving 1 + -5h = 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 + -5h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5h = 0 + -1 -5h = 0 + -1 Combine like terms: 0 + -1 = -1 -5h = -1 Divide each side by '-5'. h = 0.2 Simplifying h = 0.2Solution
h = {-2.333333333, 0.2}
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