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Simplifying x(2 + -1x + -1y) = 0 (2 * x + -1x * x + -1y * x) = 0 Reorder the terms: (2x + -1xy + -1x2) = 0 (2x + -1xy + -1x2) = 0 Solving 2x + -1xy + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -1y + -1x) = 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 '(2 + -1y + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1y + -1x = 0 Reorder the terms: 2 + -1x + -1y = 0 Solving 2 + -1x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + -1x + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + -1y = 0 + -2 -1x + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + -1y = -2 Add 'y' to each side of the equation. -1x + -1y + y = -2 + y Combine like terms: -1y + y = 0 -1x + 0 = -2 + y -1x = -2 + y Divide each side by '-1'. x = 2 + -1y Simplifying x = 2 + -1ySolution
x = {0, 2 + -1y}
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