z^2+iz-2z+2=0

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Solution for z^2+iz-2z+2=0 equation:


Simplifying
z2 + iz + -2z + 2 = 0

Reorder the terms:
2 + iz + -2z + z2 = 0

Solving
2 + iz + -2z + z2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + iz + -2z + -2 + z2 = 0 + -2

Reorder the terms:
2 + -2 + iz + -2z + z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + iz + -2z + z2 = 0 + -2
iz + -2z + z2 = 0 + -2

Combine like terms: 0 + -2 = -2
iz + -2z + z2 = -2

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

Combine like terms: -2z + 2z = 0
iz + 0 + z2 = -2 + 2z
iz + z2 = -2 + 2z

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

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

Divide each side by 'z'.
i = -2z-1 + 2 + -1z

Simplifying
i = -2z-1 + 2 + -1z

Reorder the terms:
i = 2 + -2z-1 + -1z

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