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Simplifying 5xy + -2x + -2xy + x = 0 Reorder the terms: -2x + x + 5xy + -2xy = 0 Combine like terms: -2x + x = -1x -1x + 5xy + -2xy = 0 Combine like terms: 5xy + -2xy = 3xy -1x + 3xy = 0 Solving -1x + 3xy = 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(-1 + 3y) = 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 '(-1 + 3y)' equal to zero and attempt to solve: Simplifying -1 + 3y = 0 Solving -1 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = 0 + 1 3y = 0 + 1 Combine like terms: 0 + 1 = 1 3y = 1 Add '-3y' to each side of the equation. 3y + -3y = 1 + -3y Combine like terms: 3y + -3y = 0 0 = 1 + -3y Simplifying 0 = 1 + -3y 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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