z=zy

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Solution for z=zy equation:


Simplifying
z = zy

Solving
z = yz

Solving for variable 'z'.

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

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

Combine like terms: yz + -1yz = 0
-1yz + z = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-1y + 1) = 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 '(-1y + 1)' equal to zero and attempt to solve: Simplifying -1y + 1 = 0 Reorder the terms: 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + y 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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