z^2+2iz+1+2i=-2z

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

Simplifying
z2 + 2iz + 1 + 2i = -2z

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

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

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 + 2iz + -1 + z2 = -1 + -2z

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.