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Simplifying 4xy + xy + -3x + x = 0 Reorder the terms: -3x + x + 4xy + xy = 0 Combine like terms: -3x + x = -2x -2x + 4xy + xy = 0 Combine like terms: 4xy + xy = 5xy -2x + 5xy = 0 Solving -2x + 5xy = 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(-2 + 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 '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Add '-5y' to each side of the equation. 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 0 = 2 + -5y Simplifying 0 = 2 + -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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