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Simplifying Y(y + -1)(y + -3) = 0 Reorder the terms: Y(-1 + y)(y + -3) = 0 Reorder the terms: Y(-1 + y)(-3 + y) = 0 Multiply (-1 + y) * (-3 + y) Y(-1(-3 + y) + y(-3 + y)) = 0 Y((-3 * -1 + y * -1) + y(-3 + y)) = 0 Y((3 + -1y) + y(-3 + y)) = 0 Y(3 + -1y + (-3 * y + y * y)) = 0 Y(3 + -1y + (-3y + y2)) = 0 Combine like terms: -1y + -3y = -4y Y(3 + -4y + y2) = 0 (3 * Y + -4y * Y + y2 * Y) = 0 (3Y + -4yY + y2Y) = 0 Solving 3Y + -4yY + y2Y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'Y'. Y(3 + -4y + y2) = 0 Factor a trinomial. Y((1 + -1y)(3 + -1y)) = 0Subproblem 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
Y = {0}
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