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Simplifying 0 = 3X(2X + 3Y) 0 = (2X * 3X + 3Y * 3X) Reorder the terms: 0 = (9XY + 6X2) 0 = (9XY + 6X2) Solving 0 = 9XY + 6X2 Solving for variable 'X'. Remove the zero: -9XY + -6X2 = 9XY + 6X2 + -9XY + -6X2 Reorder the terms: -9XY + -6X2 = 9XY + -9XY + 6X2 + -6X2 Combine like terms: 9XY + -9XY = 0 -9XY + -6X2 = 0 + 6X2 + -6X2 -9XY + -6X2 = 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -9XY + -6X2 = 0 Factor out the Greatest Common Factor (GCF), '-3X'. -3X(3Y + 2X) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(3Y + 2X)' equal to zero and attempt to solve: Simplifying 3Y + 2X = 0 Reorder the terms: 2X + 3Y = 0 Solving 2X + 3Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-3Y' to each side of the equation. 2X + 3Y + -3Y = 0 + -3Y Combine like terms: 3Y + -3Y = 0 2X + 0 = 0 + -3Y 2X = 0 + -3Y Remove the zero: 2X = -3Y Divide each side by '2'. X = -1.5Y Simplifying X = -1.5YSolution
X = {0, -1.5Y}
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