i*z^2+(3+i)z+2-2i=0

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Solution for i*z^2+(3+i)z+2-2i=0 equation:


Simplifying
i * z2 + (3 + i) * z + 2 + -2i = 0

Multiply i * z2
iz2 + (3 + i) * z + 2 + -2i = 0

Reorder the terms for easier multiplication:
iz2 + z(3 + i) + 2 + -2i = 0
iz2 + (3 * z + i * z) + 2 + -2i = 0

Reorder the terms:
iz2 + (iz + 3z) + 2 + -2i = 0
iz2 + (iz + 3z) + 2 + -2i = 0

Reorder the terms:
2 + -2i + iz + iz2 + 3z = 0

Solving
2 + -2i + iz + iz2 + 3z = 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 + -2i + iz + iz2 + -2 + 3z = 0 + -2

Reorder the terms:
2 + -2 + -2i + iz + iz2 + 3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2i + iz + iz2 + 3z = 0 + -2
-2i + iz + iz2 + 3z = 0 + -2

Combine like terms: 0 + -2 = -2
-2i + iz + iz2 + 3z = -2

Add '-3z' to each side of the equation.
-2i + iz + iz2 + 3z + -3z = -2 + -3z

Combine like terms: 3z + -3z = 0
-2i + iz + iz2 + 0 = -2 + -3z
-2i + iz + iz2 = -2 + -3z

Reorder the terms:
2 + -2i + iz + iz2 + 3z = -2 + -3z + 2 + 3z

Reorder the terms:
2 + -2i + iz + iz2 + 3z = -2 + 2 + -3z + 3z

Combine like terms: -2 + 2 = 0
2 + -2i + iz + iz2 + 3z = 0 + -3z + 3z
2 + -2i + iz + iz2 + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
2 + -2i + iz + iz2 + 3z = 0

The solution to this equation could not be determined.

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