z^2+2iz^2+2iz+4=0

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Solution for z^2+2iz^2+2iz+4=0 equation:


Simplifying
z2 + 2iz2 + 2iz + 4 = 0

Reorder the terms:
4 + 2iz + 2iz2 + z2 = 0

Solving
4 + 2iz + 2iz2 + z2 = 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 + 2iz2 + -4 + z2 = 0 + -4

Reorder the terms:
4 + -4 + 2iz + 2iz2 + z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2iz + 2iz2 + z2 = 0 + -4
2iz + 2iz2 + z2 = 0 + -4

Combine like terms: 0 + -4 = -4
2iz + 2iz2 + z2 = -4

Add '-1z2' to each side of the equation.
2iz + 2iz2 + z2 + -1z2 = -4 + -1z2

Combine like terms: z2 + -1z2 = 0
2iz + 2iz2 + 0 = -4 + -1z2
2iz + 2iz2 = -4 + -1z2

Reorder the terms:
4 + 2iz + 2iz2 + z2 = -4 + -1z2 + 4 + z2

Reorder the terms:
4 + 2iz + 2iz2 + z2 = -4 + 4 + -1z2 + z2

Combine like terms: -4 + 4 = 0
4 + 2iz + 2iz2 + z2 = 0 + -1z2 + z2
4 + 2iz + 2iz2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
4 + 2iz + 2iz2 + z2 = 0

The solution to this equation could not be determined.

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