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Simplifying 2xy + 5x + 6xy + 3xy = 0 Reorder the terms: 5x + 2xy + 6xy + 3xy = 0 Combine like terms: 2xy + 6xy = 8xy 5x + 8xy + 3xy = 0 Combine like terms: 8xy + 3xy = 11xy 5x + 11xy = 0 Solving 5x + 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(5 + 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 '(5 + 11y)' equal to zero and attempt to solve: Simplifying 5 + 11y = 0 Solving 5 + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11y = 0 + -5 11y = 0 + -5 Combine like terms: 0 + -5 = -5 11y = -5 Add '-11y' to each side of the equation. 11y + -11y = -5 + -11y Combine like terms: 11y + -11y = 0 0 = -5 + -11y Simplifying 0 = -5 + -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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