Z^2+(1+i)z+i=0

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Solution for Z^2+(1+i)z+i=0 equation:


Simplifying
Z2 + (1 + i) * z + i = 0

Reorder the terms for easier multiplication:
Z2 + z(1 + i) + i = 0
Z2 + (1 * z + i * z) + i = 0

Reorder the terms:
Z2 + (iz + 1z) + i = 0
Z2 + (iz + 1z) + i = 0

Reorder the terms:
Z2 + i + iz + 1z = 0

Solving
Z2 + i + iz + 1z = 0

Solving for variable 'Z'.

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

Add '-1i' to each side of the equation.
Z2 + i + iz + -1i + 1z = 0 + -1i

Reorder the terms:
Z2 + i + -1i + iz + 1z = 0 + -1i

Combine like terms: i + -1i = 0
Z2 + 0 + iz + 1z = 0 + -1i
Z2 + iz + 1z = 0 + -1i
Remove the zero:
Z2 + iz + 1z = -1i

Add '-1iz' to each side of the equation.
Z2 + iz + -1iz + 1z = -1i + -1iz

Combine like terms: iz + -1iz = 0
Z2 + 0 + 1z = -1i + -1iz
Z2 + 1z = -1i + -1iz

Add '-1z' to each side of the equation.
Z2 + 1z + -1z = -1i + -1iz + -1z

Combine like terms: 1z + -1z = 0
Z2 + 0 = -1i + -1iz + -1z
Z2 = -1i + -1iz + -1z

Simplifying
Z2 = -1i + -1iz + -1z

Reorder the terms:
Z2 + i + iz + z = -1i + i + -1iz + iz + -1z + z

Combine like terms: -1i + i = 0
Z2 + i + iz + z = 0 + -1iz + iz + -1z + z
Z2 + i + iz + z = -1iz + iz + -1z + z

Combine like terms: -1iz + iz = 0
Z2 + i + iz + z = 0 + -1z + z
Z2 + i + iz + z = -1z + z

Combine like terms: -1z + z = 0
Z2 + i + iz + z = 0

The solution to this equation could not be determined.

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