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Simplifying 6xy + -3x + 2yx = 0 Reorder the terms: -3x + 6xy + 2xy = 0 Combine like terms: 6xy + 2xy = 8xy -3x + 8xy = 0 Solving -3x + 8xy = 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(-3 + 8y) = 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 '(-3 + 8y)' equal to zero and attempt to solve: Simplifying -3 + 8y = 0 Solving -3 + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = 0 + 3 8y = 0 + 3 Combine like terms: 0 + 3 = 3 8y = 3 Add '-8y' to each side of the equation. 8y + -8y = 3 + -8y Combine like terms: 8y + -8y = 0 0 = 3 + -8y Simplifying 0 = 3 + -8y 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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