Z^2+z+1-i=0

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

Simplifying
Z2 + z + 1 + -1i = 0

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

Solving
1 + Z2 + -1i + z = 0

Solving for variable 'Z'.

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

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

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

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

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

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

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

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

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

Simplifying
Z2 = -1 + i + -1z

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

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

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

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

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

The solution to this equation could not be determined.