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Simplifying x2y + -3xy + 4x = 0 Reorder the terms: 4x + -3xy + x2y = 0 Solving 4x + -3xy + x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -3y + xy) = 0Subproblem 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 '(4 + -3y + xy)' equal to zero and attempt to solve: Simplifying 4 + -3y + xy = 0 Reorder the terms: 4 + xy + -3y = 0 Solving 4 + xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + xy + -4 + -3y = 0 + -4 Reorder the terms: 4 + -4 + xy + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + xy + -3y = 0 + -4 xy + -3y = 0 + -4 Combine like terms: 0 + -4 = -4 xy + -3y = -4 Add '3y' to each side of the equation. xy + -3y + 3y = -4 + 3y Combine like terms: -3y + 3y = 0 xy + 0 = -4 + 3y xy = -4 + 3y Divide each side by 'y'. x = -4y-1 + 3 Simplifying x = -4y-1 + 3 Reorder the terms: x = 3 + -4y-1Solution
x = {0, 3 + -4y-1}
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