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Simplifying 6x2y + 3x + -9xy = 0 Reorder the terms: 3x + -9xy + 6x2y = 0 Solving 3x + -9xy + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -3y + 2xy) = 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 '(1 + -3y + 2xy)' equal to zero and attempt to solve: Simplifying 1 + -3y + 2xy = 0 Reorder the terms: 1 + 2xy + -3y = 0 Solving 1 + 2xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2xy + -1 + -3y = 0 + -1 Reorder the terms: 1 + -1 + 2xy + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2xy + -3y = 0 + -1 2xy + -3y = 0 + -1 Combine like terms: 0 + -1 = -1 2xy + -3y = -1 Add '3y' to each side of the equation. 2xy + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 2xy + 0 = -1 + 3y 2xy = -1 + 3y Divide each side by '2y'. x = -0.5y-1 + 1.5 Simplifying x = -0.5y-1 + 1.5 Reorder the terms: x = 1.5 + -0.5y-1Solution
x = {0, 1.5 + -0.5y-1}
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