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Simplifying 2Y2 + 9Y + -5 = 0 Reorder the terms: -5 + 9Y + 2Y2 = 0 Solving -5 + 9Y + 2Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (-5 + -1Y)(1 + -2Y) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + -2Y)' equal to zero and attempt to solve: Simplifying 1 + -2Y = 0 Solving 1 + -2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2Y = 0 + -1 -2Y = 0 + -1 Combine like terms: 0 + -1 = -1 -2Y = -1 Divide each side by '-2'. Y = 0.5 Simplifying Y = 0.5Solution
Y = {-5, 0.5}
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