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Simplifying (5Y + 7)(5Y + 11) = 0 Reorder the terms: (7 + 5Y)(5Y + 11) = 0 Reorder the terms: (7 + 5Y)(11 + 5Y) = 0 Multiply (7 + 5Y) * (11 + 5Y) (7(11 + 5Y) + 5Y * (11 + 5Y)) = 0 ((11 * 7 + 5Y * 7) + 5Y * (11 + 5Y)) = 0 ((77 + 35Y) + 5Y * (11 + 5Y)) = 0 (77 + 35Y + (11 * 5Y + 5Y * 5Y)) = 0 (77 + 35Y + (55Y + 25Y2)) = 0 Combine like terms: 35Y + 55Y = 90Y (77 + 90Y + 25Y2) = 0 Solving 77 + 90Y + 25Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (11 + 5Y)(7 + 5Y) = 0Subproblem 1
Set the factor '(11 + 5Y)' equal to zero and attempt to solve: Simplifying 11 + 5Y = 0 Solving 11 + 5Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5Y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5Y = 0 + -11 5Y = 0 + -11 Combine like terms: 0 + -11 = -11 5Y = -11 Divide each side by '5'. Y = -2.2 Simplifying Y = -2.2Subproblem 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 = {-2.2, -1.4}
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