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

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


Simplifying
z2 + iz + -1(2i + 1) = 0

Reorder the terms:
z2 + iz + -1(1 + 2i) = 0
z2 + iz + (1 * -1 + 2i * -1) = 0
z2 + iz + (-1 + -2i) = 0

Reorder the terms:
-1 + -2i + iz + z2 = 0

Solving
-1 + -2i + iz + z2 = 0

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 + -2i + iz + 1 + z2 = 0 + 1

Reorder the terms:
-1 + 1 + -2i + iz + z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2i + iz + z2 = 0 + 1
-2i + iz + z2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2i + iz + z2 = 1

Add '-1z2' to each side of the equation.
-2i + iz + z2 + -1z2 = 1 + -1z2

Combine like terms: z2 + -1z2 = 0
-2i + iz + 0 = 1 + -1z2
-2i + iz = 1 + -1z2

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

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

Combine like terms: 1 + -1 = 0
-1 + -2i + iz + z2 = 0 + -1z2 + z2
-1 + -2i + iz + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-1 + -2i + iz + z2 = 0

The solution to this equation could not be determined.

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