i*z^2+(2-2i)*z-4=0

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Solution for i*z^2+(2-2i)*z-4=0 equation:


Simplifying
i * z2 + (2 + -2i) * z + -4 = 0

Multiply i * z2
iz2 + (2 + -2i) * z + -4 = 0

Reorder the terms for easier multiplication:
iz2 + z(2 + -2i) + -4 = 0
iz2 + (2 * z + -2i * z) + -4 = 0

Reorder the terms:
iz2 + (-2iz + 2z) + -4 = 0
iz2 + (-2iz + 2z) + -4 = 0

Reorder the terms:
-4 + -2iz + iz2 + 2z = 0

Solving
-4 + -2iz + iz2 + 2z = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -2iz + iz2 + 4 + 2z = 0 + 4

Reorder the terms:
-4 + 4 + -2iz + iz2 + 2z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2iz + iz2 + 2z = 0 + 4
-2iz + iz2 + 2z = 0 + 4

Combine like terms: 0 + 4 = 4
-2iz + iz2 + 2z = 4

Add '-2z' to each side of the equation.
-2iz + iz2 + 2z + -2z = 4 + -2z

Combine like terms: 2z + -2z = 0
-2iz + iz2 + 0 = 4 + -2z
-2iz + iz2 = 4 + -2z

Reorder the terms:
-4 + -2iz + iz2 + 2z = 4 + -2z + -4 + 2z

Reorder the terms:
-4 + -2iz + iz2 + 2z = 4 + -4 + -2z + 2z

Combine like terms: 4 + -4 = 0
-4 + -2iz + iz2 + 2z = 0 + -2z + 2z
-4 + -2iz + iz2 + 2z = -2z + 2z

Combine like terms: -2z + 2z = 0
-4 + -2iz + iz2 + 2z = 0

The solution to this equation could not be determined.

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