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