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Simplifying 2xy + 7x + 6xy + 3xy + -3x = 0 Reorder the terms: 7x + -3x + 2xy + 6xy + 3xy = 0 Combine like terms: 7x + -3x = 4x 4x + 2xy + 6xy + 3xy = 0 Combine like terms: 2xy + 6xy = 8xy 4x + 8xy + 3xy = 0 Combine like terms: 8xy + 3xy = 11xy 4x + 11xy = 0 Solving 4x + 11xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 11y) = 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 + 11y)' equal to zero and attempt to solve: Simplifying 4 + 11y = 0 Solving 4 + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11y = 0 + -4 11y = 0 + -4 Combine like terms: 0 + -4 = -4 11y = -4 Add '-11y' to each side of the equation. 11y + -11y = -4 + -11y Combine like terms: 11y + -11y = 0 0 = -4 + -11y Simplifying 0 = -4 + -11y 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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