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Simplifying x(3 + -1x + y) = 3x + -1x + xy (3 * x + -1x * x + y * x) = 3x + -1x + xy Reorder the terms: (3x + xy + -1x2) = 3x + -1x + xy (3x + xy + -1x2) = 3x + -1x + xy Combine like terms: 3x + -1x = 2x 3x + xy + -1x2 = 2x + xy Add '-1xy' to each side of the equation. 3x + xy + -1xy + -1x2 = 2x + xy + -1xy Combine like terms: xy + -1xy = 0 3x + 0 + -1x2 = 2x + xy + -1xy 3x + -1x2 = 2x + xy + -1xy Combine like terms: xy + -1xy = 0 3x + -1x2 = 2x + 0 3x + -1x2 = 2x Solving 3x + -1x2 = 2x Solving for variable 'x'. Reorder the terms: 3x + -2x + -1x2 = 2x + -2x Combine like terms: 3x + -2x = 1x 1x + -1x2 = 2x + -2x Combine like terms: 2x + -2x = 0 1x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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