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Simplifying x(X + 1) = 0 Reorder the terms: x(1 + X) = 0 (1 * x + X * x) = 0 (1x + xX) = 0 Solving 1x + xX = 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(1 + X) = 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 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 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 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Add '-1X' to each side of the equation. X + -1X = -1 + -1X Combine like terms: X + -1X = 0 0 = -1 + -1X Simplifying 0 = -1 + -1X 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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