Zw+1=8w+1

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Solution for Zw+1=8w+1 equation: 


Simplifying
Zw + 1 = 8w + 1

Reorder the terms:
1 + wZ = 8w + 1

Reorder the terms:
1 + wZ = 1 + 8w

Add '-1' to each side of the equation.
1 + -1 + wZ = 1 + -1 + 8w

Combine like terms: 1 + -1 = 0
0 + wZ = 1 + -1 + 8w
wZ = 1 + -1 + 8w

Combine like terms: 1 + -1 = 0
wZ = 0 + 8w
wZ = 8w

Solving
wZ = 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-8w + wZ = 8w + -8w

Combine like terms: 8w + -8w = 0
-8w + wZ = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-8 + Z) = 0


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-8 + Z)' equal to zero and attempt to solve:

Simplifying
-8 + Z = 0

Solving
-8 + Z = 0

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

Add '8' to each side of the equation.
-8 + 8 + Z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + Z = 0 + 8
Z = 0 + 8

Combine like terms: 0 + 8 = 8
Z = 8

Add '-1Z' to each side of the equation.
Z + -1Z = 8 + -1Z

Combine like terms: Z + -1Z = 0
0 = 8 + -1Z

Simplifying
0 = 8 + -1Z

The solution to this equation could not be determined.

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

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