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Simplifying 6x + -5xy + 6x = 0 Reorder the terms: 6x + 6x + -5xy = 0 Combine like terms: 6x + 6x = 12x 12x + -5xy = 0 Solving 12x + -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(12 + -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 '(12 + -5y)' equal to zero and attempt to solve: Simplifying 12 + -5y = 0 Solving 12 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 0 + -12 -5y = 0 + -12 Combine like terms: 0 + -12 = -12 -5y = -12 Add '5y' to each side of the equation. -5y + 5y = -12 + 5y Combine like terms: -5y + 5y = 0 0 = -12 + 5y Simplifying 0 = -12 + 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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