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Simplifying 6x2 + -6xy + 6x = 0 Reorder the terms: 6x + -6xy + 6x2 = 0 Solving 6x + -6xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(1 + -1y + x) = 0 Ignore the factor 6.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 + -1y + x)' equal to zero and attempt to solve: Simplifying 1 + -1y + x = 0 Reorder the terms: 1 + x + -1y = 0 Solving 1 + x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + x + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + -1y = 0 + -1 x + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 x + -1y = -1 Add 'y' to each side of the equation. x + -1y + y = -1 + y Combine like terms: -1y + y = 0 x + 0 = -1 + y x = -1 + y Simplifying x = -1 + ySolution
x = {0, -1 + y}
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