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Simplifying Y2 + -9Y + 20 = 0 Reorder the terms: 20 + -9Y + Y2 = 0 Solving 20 + -9Y + Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (4 + -1Y)(5 + -1Y) = 0Subproblem 1
Set the factor '(4 + -1Y)' equal to zero and attempt to solve: Simplifying 4 + -1Y = 0 Solving 4 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1Y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1Y = 0 + -4 -1Y = 0 + -4 Combine like terms: 0 + -4 = -4 -1Y = -4 Divide each side by '-1'. Y = 4 Simplifying Y = 4Subproblem 2
Set the factor '(5 + -1Y)' equal to zero and attempt to solve: Simplifying 5 + -1Y = 0 Solving 5 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1Y = 0 + -5 -1Y = 0 + -5 Combine like terms: 0 + -5 = -5 -1Y = -5 Divide each side by '-1'. Y = 5 Simplifying Y = 5Solution
Y = {4, 5}
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