4(z-1)=nz-4

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Solution for 4(z-1)=nz-4 equation: 


Simplifying
4(z + -1) = nz + -4

Reorder the terms:
4(-1 + z) = nz + -4
(-1 * 4 + z * 4) = nz + -4
(-4 + 4z) = nz + -4

Reorder the terms:
-4 + 4z = -4 + nz

Add '4' to each side of the equation.
-4 + 4 + 4z = -4 + 4 + nz

Combine like terms: -4 + 4 = 0
0 + 4z = -4 + 4 + nz
4z = -4 + 4 + nz

Combine like terms: -4 + 4 = 0
4z = 0 + nz
4z = nz

Solving
4z = nz

Solving for variable 'z'.

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

Add '-1nz' to each side of the equation.
-1nz + 4z = nz + -1nz

Combine like terms: nz + -1nz = 0
-1nz + 4z = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-1n + 4) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(-1n + 4)' equal to zero and attempt to solve:

Simplifying
-1n + 4 = 0

Reorder the terms:
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Add 'n' to each side of the equation.
-1n + n = -4 + n

Combine like terms: -1n + n = 0
0 = -4 + n

Simplifying
0 = -4 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}

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