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Simplifying -3Y3 + 3Y2 + 6Y = 0 Reorder the terms: 6Y + 3Y2 + -3Y3 = 0 Solving 6Y + 3Y2 + -3Y3 = 0 Solving for variable 'Y'. Factor out the Greatest Common Factor (GCF), '3Y'. 3Y(2 + Y + -1Y2) = 0 Factor a trinomial. 3Y((2 + -1Y)(1 + Y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing Y to the left, all other terms to the right. Simplifying Y = 0Subproblem 2
Set the factor '(2 + -1Y)' equal to zero and attempt to solve: Simplifying 2 + -1Y = 0 Solving 2 + -1Y = 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 + -1Y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1Y = 0 + -2 -1Y = 0 + -2 Combine like terms: 0 + -2 = -2 -1Y = -2 Divide each side by '-1'. Y = 2 Simplifying Y = 2Subproblem 3
Set the factor '(1 + Y)' equal to zero and attempt to solve: Simplifying 1 + Y = 0 Solving 1 + Y = 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 + Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + Y = 0 + -1 Y = 0 + -1 Combine like terms: 0 + -1 = -1 Y = -1 Simplifying Y = -1Solution
Y = {0, 2, -1}
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