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Simplifying Y2 + -8Y + -33 = 0 Reorder the terms: -33 + -8Y + Y2 = 0 Solving -33 + -8Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (-3 + -1Y)(11 + -1Y) = 0Subproblem 1
Set the factor '(-3 + -1Y)' equal to zero and attempt to solve: Simplifying -3 + -1Y = 0 Solving -3 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1Y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1Y = 0 + 3 -1Y = 0 + 3 Combine like terms: 0 + 3 = 3 -1Y = 3 Divide each side by '-1'. Y = -3 Simplifying Y = -3Subproblem 2
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 = 11Solution
Y = {-3, 11}
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