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Simplifying 0 = c + xc Solving 0 = c + cx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 0 + -1c = c + -1c + cx Remove the zero: -1c = c + -1c + cx Combine like terms: c + -1c = 0 -1c = 0 + cx -1c = cx Add '-1cx' to each side of the equation. -1c + -1cx = cx + -1cx Combine like terms: cx + -1cx = 0 -1c + -1cx = 0 Factor out the Greatest Common Factor (GCF), '-1c'. -1c(1 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 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 c 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
c = {0}
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