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Simplifying 3x(5x + 2y + -9xy) = 0 Reorder the terms: 3x(5x + -9xy + 2y) = 0 (5x * 3x + -9xy * 3x + 2y * 3x) = 0 Reorder the terms: (6xy + 15x2 + -27x2y) = 0 (6xy + 15x2 + -27x2y) = 0 Solving 6xy + 15x2 + -27x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2y + 5x + -9xy) = 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 '(2y + 5x + -9xy)' equal to zero and attempt to solve: Simplifying 2y + 5x + -9xy = 0 Reorder the terms: 5x + -9xy + 2y = 0 Solving 5x + -9xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + -9xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 5x + -9xy + 0 = 0 + -2y 5x + -9xy = 0 + -2y Remove the zero: 5x + -9xy = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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