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Simplifying x(x + 1)(x + y) = 0 Reorder the terms: x(1 + x)(x + y) = 0 Multiply (1 + x) * (x + y) x(1(x + y) + x(x + y)) = 0 x((x * 1 + y * 1) + x(x + y)) = 0 x((1x + 1y) + x(x + y)) = 0 x(1x + 1y + (x * x + y * x)) = 0 Reorder the terms: x(1x + 1y + (xy + x2)) = 0 x(1x + 1y + (xy + x2)) = 0 Reorder the terms: x(1x + xy + x2 + 1y) = 0 x(1x + xy + x2 + 1y) = 0 (1x * x + xy * x + x2 * x + 1y * x) = 0 Reorder the terms: (1xy + 1x2 + x2y + x3) = 0 (1xy + 1x2 + x2y + x3) = 0 Solving 1xy + 1x2 + x2y + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(y + x + xy + x2) = 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 '(y + x + xy + x2)' equal to zero and attempt to solve: Simplifying y + x + xy + x2 = 0 Reorder the terms: x + xy + x2 + y = 0 Solving x + xy + x2 + y = 0 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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