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Simplifying (xy + -1x) + (5xy + 3x) = 0 Reorder the terms: (-1x + xy) + (5xy + 3x) = 0 Remove parenthesis around (-1x + xy) -1x + xy + (5xy + 3x) = 0 Reorder the terms: -1x + xy + (3x + 5xy) = 0 Remove parenthesis around (3x + 5xy) -1x + xy + 3x + 5xy = 0 Reorder the terms: -1x + 3x + xy + 5xy = 0 Combine like terms: -1x + 3x = 2x 2x + xy + 5xy = 0 Combine like terms: xy + 5xy = 6xy 2x + 6xy = 0 Solving 2x + 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), '2x'. 2x(1 + 3y) = 0 Ignore the factor 2.Subproblem 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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