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Simplifying X2Y3 + XY2 = 12Y Reorder the terms: XY2 + X2Y3 = 12Y Solving XY2 + X2Y3 = 12Y Solving for variable 'X'. Combine like terms: 12Y + -12Y = 0 XY2 + X2Y3 + -12Y = 0 Factor out the Greatest Common Factor (GCF), 'Y'. Y(XY + X2Y2 + -12) = 0 Factor a trinomial. Y((XY + -3)(XY + 4)) = 0Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y = 0 + -1Y Remove the zero: 0 = -1Y Simplifying 0 = -1Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(XY + -3)' equal to zero and attempt to solve: Simplifying XY + -3 = 0 Reorder the terms: -3 + XY = 0 Solving -3 + XY = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + XY = 0 + 3 Combine like terms: -3 + 3 = 0 0 + XY = 0 + 3 XY = 0 + 3 Combine like terms: 0 + 3 = 3 XY = 3 Divide each side by 'Y'. X = 3Y-1 Simplifying X = 3Y-1Subproblem 3
Set the factor '(XY + 4)' equal to zero and attempt to solve: Simplifying XY + 4 = 0 Reorder the terms: 4 + XY = 0 Solving 4 + XY = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + XY = 0 + -4 Combine like terms: 4 + -4 = 0 0 + XY = 0 + -4 XY = 0 + -4 Combine like terms: 0 + -4 = -4 XY = -4 Divide each side by 'Y'. X = -4Y-1 Simplifying X = -4Y-1Solution
X = {3Y-1, -4Y-1}
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