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Simplifying (3Y + 2)(3y + -9) = 0 Reorder the terms: (2 + 3Y)(3y + -9) = 0 Reorder the terms: (2 + 3Y)(-9 + 3y) = 0 Multiply (2 + 3Y) * (-9 + 3y) (2(-9 + 3y) + 3Y * (-9 + 3y)) = 0 ((-9 * 2 + 3y * 2) + 3Y * (-9 + 3y)) = 0 ((-18 + 6y) + 3Y * (-9 + 3y)) = 0 (-18 + 6y + (-9 * 3Y + 3y * 3Y)) = 0 (-18 + 6y + (-27Y + 9yY)) = 0 Reorder the terms: (-18 + -27Y + 6y + 9yY) = 0 (-18 + -27Y + 6y + 9yY) = 0 Solving -18 + -27Y + 6y + 9yY = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -27Y + 6y + 18 + 9yY = 0 + 18 Reorder the terms: -18 + 18 + -27Y + 6y + 9yY = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -27Y + 6y + 9yY = 0 + 18 -27Y + 6y + 9yY = 0 + 18 Combine like terms: 0 + 18 = 18 -27Y + 6y + 9yY = 18 Add '-6y' to each side of the equation. -27Y + 6y + -6y + 9yY = 18 + -6y Combine like terms: 6y + -6y = 0 -27Y + 0 + 9yY = 18 + -6y -27Y + 9yY = 18 + -6y Reorder the terms: -18 + -27Y + 6y + 9yY = 18 + -6y + -18 + 6y Reorder the terms: -18 + -27Y + 6y + 9yY = 18 + -18 + -6y + 6y Combine like terms: 18 + -18 = 0 -18 + -27Y + 6y + 9yY = 0 + -6y + 6y -18 + -27Y + 6y + 9yY = -6y + 6y Combine like terms: -6y + 6y = 0 -18 + -27Y + 6y + 9yY = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + -9Y + 2y + 3yY) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -9Y + 2y + 3yY)' equal to zero and attempt to solve: Simplifying -6 + -9Y + 2y + 3yY = 0 Solving -6 + -9Y + 2y + 3yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -9Y + 2y + 6 + 3yY = 0 + 6 Reorder the terms: -6 + 6 + -9Y + 2y + 3yY = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -9Y + 2y + 3yY = 0 + 6 -9Y + 2y + 3yY = 0 + 6 Combine like terms: 0 + 6 = 6 -9Y + 2y + 3yY = 6 Add '-2y' to each side of the equation. -9Y + 2y + -2y + 3yY = 6 + -2y Combine like terms: 2y + -2y = 0 -9Y + 0 + 3yY = 6 + -2y -9Y + 3yY = 6 + -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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