z^2+(2i-1)-i=o

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


Simplifying
z2 + (2i + -1) + -1i = o

Reorder the terms:
z2 + (-1 + 2i) + -1i = o

Remove parenthesis around (-1 + 2i)
z2 + -1 + 2i + -1i = o

Reorder the terms:
-1 + 2i + -1i + z2 = o

Combine like terms: 2i + -1i = 1i
-1 + 1i + z2 = o

Solving
-1 + 1i + z2 = o

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1i + 1 + z2 = 1 + o

Reorder the terms:
-1 + 1 + 1i + z2 = 1 + o

Combine like terms: -1 + 1 = 0
0 + 1i + z2 = 1 + o
1i + z2 = 1 + o

Add '-1z2' to each side of the equation.
1i + z2 + -1z2 = 1 + o + -1z2

Combine like terms: z2 + -1z2 = 0
1i + 0 = 1 + o + -1z2
1i = 1 + o + -1z2

Divide each side by '1'.
i = 1 + o + -1z2

Simplifying
i = 1 + o + -1z2

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