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Simplifying 9xy + -1yx + -3x + -3x + 10yx + 3x = 0 Reorder the terms: -3x + -3x + 3x + 9xy + -1xy + 10xy = 0 Combine like terms: -3x + -3x = -6x -6x + 3x + 9xy + -1xy + 10xy = 0 Combine like terms: -6x + 3x = -3x -3x + 9xy + -1xy + 10xy = 0 Combine like terms: 9xy + -1xy = 8xy -3x + 8xy + 10xy = 0 Combine like terms: 8xy + 10xy = 18xy -3x + 18xy = 0 Solving -3x + 18xy = 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), '3x'. 3x(-1 + 6y) = 0 Ignore the factor 3.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 + 6y)' equal to zero and attempt to solve: Simplifying -1 + 6y = 0 Solving -1 + 6y = 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 + 6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = 0 + 1 6y = 0 + 1 Combine like terms: 0 + 1 = 1 6y = 1 Add '-6y' to each side of the equation. 6y + -6y = 1 + -6y Combine like terms: 6y + -6y = 0 0 = 1 + -6y Simplifying 0 = 1 + -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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