1=C(x+3)+1

Solution for 1=C(x+3)+1 equation:

Simplifying
1 = C(x + 3) + 1

Reorder the terms:
1 = C(3 + x) + 1
1 = (3 * C + x * C) + 1
1 = (3C + xC) + 1

Reorder the terms:
1 = 1 + 3C + xC

Add '-1' to each side of the equation.
1 + -1 = 1 + 3C + -1 + xC

Combine like terms: 1 + -1 = 0
0 = 1 + 3C + -1 + xC

Reorder the terms:
0 = 1 + -1 + 3C + xC

Combine like terms: 1 + -1 = 0
0 = 0 + 3C + xC
0 = 3C + xC

Solving
0 = 3C + xC

Solving for variable 'C'.

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

Add '-3C' to each side of the equation.
0 + -3C = 3C + -3C + xC
Remove the zero:
-3C = 3C + -3C + xC

Combine like terms: 3C + -3C = 0
-3C = 0 + xC
-3C = xC

Add '-1xC' to each side of the equation.
-3C + -1xC = xC + -1xC

Combine like terms: xC + -1xC = 0
-3C + -1xC = 0

Factor out the Greatest Common Factor (GCF), '-1C'.
-1C(3 + 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 = 0
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -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}