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Simplifying (5Y + 7)(4 + -1Y) = 0 Reorder the terms: (7 + 5Y)(4 + -1Y) = 0 Multiply (7 + 5Y) * (4 + -1Y) (7(4 + -1Y) + 5Y * (4 + -1Y)) = 0 ((4 * 7 + -1Y * 7) + 5Y * (4 + -1Y)) = 0 ((28 + -7Y) + 5Y * (4 + -1Y)) = 0 (28 + -7Y + (4 * 5Y + -1Y * 5Y)) = 0 (28 + -7Y + (20Y + -5Y2)) = 0 Combine like terms: -7Y + 20Y = 13Y (28 + 13Y + -5Y2) = 0 Solving 28 + 13Y + -5Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (4 + -1Y)(7 + 5Y) = 0Subproblem 1
Set the factor '(4 + -1Y)' equal to zero and attempt to solve: Simplifying 4 + -1Y = 0 Solving 4 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1Y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1Y = 0 + -4 -1Y = 0 + -4 Combine like terms: 0 + -4 = -4 -1Y = -4 Divide each side by '-1'. Y = 4 Simplifying Y = 4Subproblem 2
Set the factor '(7 + 5Y)' equal to zero and attempt to solve: Simplifying 7 + 5Y = 0 Solving 7 + 5Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5Y = 0 + -7 5Y = 0 + -7 Combine like terms: 0 + -7 = -7 5Y = -7 Divide each side by '5'. Y = -1.4 Simplifying Y = -1.4Solution
Y = {4, -1.4}
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