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Simplifying 6x2y + 2xy + 6x = 0 Reorder the terms: 6x + 2xy + 6x2y = 0 Solving 6x + 2xy + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + y + 3xy) = 0 Ignore the factor 2.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 '(3 + y + 3xy)' equal to zero and attempt to solve: Simplifying 3 + y + 3xy = 0 Reorder the terms: 3 + 3xy + y = 0 Solving 3 + 3xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3xy + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + 3xy + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3xy + y = 0 + -3 3xy + y = 0 + -3 Combine like terms: 0 + -3 = -3 3xy + y = -3 Add '-1y' to each side of the equation. 3xy + y + -1y = -3 + -1y Combine like terms: y + -1y = 0 3xy + 0 = -3 + -1y 3xy = -3 + -1y Divide each side by '3y'. x = -1y-1 + -0.3333333333 Simplifying x = -1y-1 + -0.3333333333 Reorder the terms: x = -0.3333333333 + -1y-1Solution
x = {0, -0.3333333333 + -1y-1}
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