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Simplifying 2x + c2 = 2x + -1c Reorder the terms: c2 + 2x = 2x + -1c Reorder the terms: c2 + 2x = -1c + 2x Add '-2x' to each side of the equation. c2 + 2x + -2x = -1c + 2x + -2x Combine like terms: 2x + -2x = 0 c2 + 0 = -1c + 2x + -2x c2 = -1c + 2x + -2x Combine like terms: 2x + -2x = 0 c2 = -1c + 0 c2 = -1c Solving c2 = -1c Solving for variable 'c'. Reorder the terms: c + c2 = -1c + c Combine like terms: -1c + c = 0 c + c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(1 + c) = 0Subproblem 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 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Solution
c = {0, -1}
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