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Simplifying Y2 + 11Y + 18 = 0 Reorder the terms: 18 + 11Y + Y2 = 0 Solving 18 + 11Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (9 + Y)(2 + Y) = 0Subproblem 1
Set the factor '(9 + Y)' equal to zero and attempt to solve: Simplifying 9 + Y = 0 Solving 9 + Y = 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 + Y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + Y = 0 + -9 Y = 0 + -9 Combine like terms: 0 + -9 = -9 Y = -9 Simplifying Y = -9Subproblem 2
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 = -2Solution
Y = {-9, -2}
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