CD+C=PC+NforC

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Solution for CD+C=PC+NforC equation: 


Simplifying
CD + C = PC + NforC

Reorder the terms:
C + CD = PC + NforC

Solving
C + CD = CP + forCN

Solving for variable 'C'.

Move all terms containing C to the left, all other terms to the right.

Add '-1CP' to each side of the equation.
C + CD + -1CP = CP + -1CP + forCN

Combine like terms: CP + -1CP = 0
C + CD + -1CP = 0 + forCN
C + CD + -1CP = forCN

Add '-1forCN' to each side of the equation.
C + CD + -1CP + -1forCN = forCN + -1forCN

Combine like terms: forCN + -1forCN = 0
C + CD + -1CP + -1forCN = 0

Factor out the Greatest Common Factor (GCF), 'C'.
C(1 + D + -1P + -1forN) = 0


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 = 0

Subproblem 2
Set the factor '(1 + D + -1P + -1forN)' equal to zero and attempt to solve:

Simplifying
1 + D + -1P + -1forN = 0

Solving
1 + D + -1P + -1forN = 0

Move all terms containing C to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + D + -1P + -1 + -1forN = 0 + -1

Reorder the terms:
1 + -1 + D + -1P + -1forN = 0 + -1

Combine like terms: 1 + -1 = 0
0 + D + -1P + -1forN = 0 + -1
D + -1P + -1forN = 0 + -1

Combine like terms: 0 + -1 = -1
D + -1P + -1forN = -1

Add '-1D' to each side of the equation.
D + -1P + -1D + -1forN = -1 + -1D

Reorder the terms:
D + -1D + -1P + -1forN = -1 + -1D

Combine like terms: D + -1D = 0
0 + -1P + -1forN = -1 + -1D
-1P + -1forN = -1 + -1D

Add 'P' to each side of the equation.
-1P + P + -1forN = -1 + -1D + P

Combine like terms: -1P + P = 0
0 + -1forN = -1 + -1D + P
-1forN = -1 + -1D + P

Add 'forN' to each side of the equation.
-1forN + forN = -1 + -1D + P + forN

Combine like terms: -1forN + forN = 0
0 = -1 + -1D + P + forN

Simplifying
0 = -1 + -1D + P + forN

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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