z^2(1-i)z-i=0

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Solution for z^2(1-i)z-i=0 equation:


Simplifying
z2(1 + -1i) * z + -1i = 0

Reorder the terms for easier multiplication:
z2 * z(1 + -1i) + -1i = 0

Multiply z2 * z
z3(1 + -1i) + -1i = 0
(1 * z3 + -1i * z3) + -1i = 0

Reorder the terms:
(-1iz3 + 1z3) + -1i = 0
(-1iz3 + 1z3) + -1i = 0

Reorder the terms:
-1i + -1iz3 + 1z3 = 0

Solving
-1i + -1iz3 + 1z3 = 0

Solving for variable 'i'.

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

Add '-1z3' to each side of the equation.
-1i + -1iz3 + 1z3 + -1z3 = 0 + -1z3

Combine like terms: 1z3 + -1z3 = 0
-1i + -1iz3 + 0 = 0 + -1z3
-1i + -1iz3 = 0 + -1z3
Remove the zero:
-1i + -1iz3 = -1z3

Combine like terms: -1z3 + z3 = 0
-1i + -1iz3 + z3 = 0

The solution to this equation could not be determined.

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