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Simplifying (3 + -3y)(2 + Y) = 0 Multiply (3 + -3y) * (2 + Y) (3(2 + Y) + -3y * (2 + Y)) = 0 ((2 * 3 + Y * 3) + -3y * (2 + Y)) = 0 ((6 + 3Y) + -3y * (2 + Y)) = 0 (6 + 3Y + (2 * -3y + Y * -3y)) = 0 (6 + 3Y + (-6y + -3yY)) = 0 (6 + 3Y + -6y + -3yY) = 0 Solving 6 + 3Y + -6y + -3yY = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3Y + -6y + -6 + -3yY = 0 + -6 Reorder the terms: 6 + -6 + 3Y + -6y + -3yY = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3Y + -6y + -3yY = 0 + -6 3Y + -6y + -3yY = 0 + -6 Combine like terms: 0 + -6 = -6 3Y + -6y + -3yY = -6 Add '6y' to each side of the equation. 3Y + -6y + 6y + -3yY = -6 + 6y Combine like terms: -6y + 6y = 0 3Y + 0 + -3yY = -6 + 6y 3Y + -3yY = -6 + 6y Reorder the terms: 6 + 3Y + -6y + -3yY = -6 + 6y + 6 + -6y Reorder the terms: 6 + 3Y + -6y + -3yY = -6 + 6 + 6y + -6y Combine like terms: -6 + 6 = 0 6 + 3Y + -6y + -3yY = 0 + 6y + -6y 6 + 3Y + -6y + -3yY = 6y + -6y Combine like terms: 6y + -6y = 0 6 + 3Y + -6y + -3yY = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + Y + -2y + -1yY) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + Y + -2y + -1yY)' equal to zero and attempt to solve: Simplifying 2 + Y + -2y + -1yY = 0 Solving 2 + Y + -2y + -1yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + Y + -2y + -2 + -1yY = 0 + -2 Reorder the terms: 2 + -2 + Y + -2y + -1yY = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Y + -2y + -1yY = 0 + -2 Y + -2y + -1yY = 0 + -2 Combine like terms: 0 + -2 = -2 Y + -2y + -1yY = -2 Add '2y' to each side of the equation. Y + -2y + 2y + -1yY = -2 + 2y Combine like terms: -2y + 2y = 0 Y + 0 + -1yY = -2 + 2y Y + -1yY = -2 + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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