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Simplifying xy + 4xy = 6x Combine like terms: xy + 4xy = 5xy 5xy = 6x Solving 5xy = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6x + 5xy = 6x + -6x Combine like terms: 6x + -6x = 0 -6x + 5xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 5y) = 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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Add '-5y' to each side of the equation. 5y + -5y = 6 + -5y Combine like terms: 5y + -5y = 0 0 = 6 + -5y Simplifying 0 = 6 + -5y 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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