z^2=2ibarz

Solution for z^2=2ibarz equation:

Simplifying
z2 = 2ibarz

Solving
z2 = 2abirz

Solving for variable 'z'.

Reorder the terms:
-2abirz + z2 = 2abirz + -2abirz

Combine like terms: 2abirz + -2abirz = 0
-2abirz + z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-2abir + z) = 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 '(-2abir + z)' equal to zero and attempt to solve:

Simplifying
-2abir + z = 0

Solving
-2abir + z = 0

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

Add '2abir' to each side of the equation.
-2abir + 2abir + z = 0 + 2abir

Combine like terms: -2abir + 2abir = 0
0 + z = 0 + 2abir
z = 0 + 2abir
Remove the zero:
z = 2abir

Simplifying
z = 2abir
Solution
z = {0, 2abir}