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Simplifying Y2 + -23Y + 132 = 0 Reorder the terms: 132 + -23Y + Y2 = 0 Solving 132 + -23Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (11 + -1Y)(12 + -1Y) = 0Subproblem 1
Set the factor '(11 + -1Y)' equal to zero and attempt to solve: Simplifying 11 + -1Y = 0 Solving 11 + -1Y = 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 + -1Y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1Y = 0 + -11 -1Y = 0 + -11 Combine like terms: 0 + -11 = -11 -1Y = -11 Divide each side by '-1'. Y = 11 Simplifying Y = 11Subproblem 2
Set the factor '(12 + -1Y)' equal to zero and attempt to solve: Simplifying 12 + -1Y = 0 Solving 12 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1Y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1Y = 0 + -12 -1Y = 0 + -12 Combine like terms: 0 + -12 = -12 -1Y = -12 Divide each side by '-1'. Y = 12 Simplifying Y = 12Solution
Y = {11, 12}
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