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Simplifying (5Y + 9)(2 + Y) = 0 Reorder the terms: (9 + 5Y)(2 + Y) = 0 Multiply (9 + 5Y) * (2 + Y) (9(2 + Y) + 5Y * (2 + Y)) = 0 ((2 * 9 + Y * 9) + 5Y * (2 + Y)) = 0 ((18 + 9Y) + 5Y * (2 + Y)) = 0 (18 + 9Y + (2 * 5Y + Y * 5Y)) = 0 (18 + 9Y + (10Y + 5Y2)) = 0 Combine like terms: 9Y + 10Y = 19Y (18 + 19Y + 5Y2) = 0 Solving 18 + 19Y + 5Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (2 + Y)(9 + 5Y) = 0Subproblem 1
Set the factor '(2 + Y)' equal to zero and attempt to solve: Simplifying 2 + Y = 0 Solving 2 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + Y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Y = 0 + -2 Y = 0 + -2 Combine like terms: 0 + -2 = -2 Y = -2 Simplifying Y = -2Subproblem 2
Set the factor '(9 + 5Y)' equal to zero and attempt to solve: Simplifying 9 + 5Y = 0 Solving 9 + 5Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5Y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5Y = 0 + -9 5Y = 0 + -9 Combine like terms: 0 + -9 = -9 5Y = -9 Divide each side by '5'. Y = -1.8 Simplifying Y = -1.8Solution
Y = {-2, -1.8}
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