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Simplifying 2xy + -3x + 4xy + 8x = 0 Reorder the terms: -3x + 8x + 2xy + 4xy = 0 Combine like terms: -3x + 8x = 5x 5x + 2xy + 4xy = 0 Combine like terms: 2xy + 4xy = 6xy 5x + 6xy = 0 Solving 5x + 6xy = 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 + 6y) = 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 + 6y)' equal to zero and attempt to solve: Simplifying 5 + 6y = 0 Solving 5 + 6y = 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 + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 0 + -5 6y = 0 + -5 Combine like terms: 0 + -5 = -5 6y = -5 Add '-6y' to each side of the equation. 6y + -6y = -5 + -6y Combine like terms: 6y + -6y = 0 0 = -5 + -6y Simplifying 0 = -5 + -6y 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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