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

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


Simplifying
Z2 + -1(1 + i) * z + -2 = 0

Reorder the terms for easier multiplication:
Z2 + -1z(1 + i) + -2 = 0
Z2 + (1 * -1z + i * -1z) + -2 = 0

Reorder the terms:
Z2 + (-1iz + -1z) + -2 = 0
Z2 + (-1iz + -1z) + -2 = 0

Reorder the terms:
-2 + Z2 + -1iz + -1z = 0

Solving
-2 + Z2 + -1iz + -1z = 0

Solving for variable 'Z'.

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

Add '2' to each side of the equation.
-2 + Z2 + -1iz + 2 + -1z = 0 + 2

Reorder the terms:
-2 + 2 + Z2 + -1iz + -1z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + Z2 + -1iz + -1z = 0 + 2
Z2 + -1iz + -1z = 0 + 2

Combine like terms: 0 + 2 = 2
Z2 + -1iz + -1z = 2

Add 'iz' to each side of the equation.
Z2 + -1iz + iz + -1z = 2 + iz

Combine like terms: -1iz + iz = 0
Z2 + 0 + -1z = 2 + iz
Z2 + -1z = 2 + iz

Add 'z' to each side of the equation.
Z2 + -1z + z = 2 + iz + z

Combine like terms: -1z + z = 0
Z2 + 0 = 2 + iz + z
Z2 = 2 + iz + z

Simplifying
Z2 = 2 + iz + z

Reorder the terms:
-2 + Z2 + -1iz + -1z = 2 + iz + z + -2 + -1iz + -1z

Reorder the terms:
-2 + Z2 + -1iz + -1z = 2 + -2 + iz + -1iz + z + -1z

Combine like terms: 2 + -2 = 0
-2 + Z2 + -1iz + -1z = 0 + iz + -1iz + z + -1z
-2 + Z2 + -1iz + -1z = iz + -1iz + z + -1z

Combine like terms: iz + -1iz = 0
-2 + Z2 + -1iz + -1z = 0 + z + -1z
-2 + Z2 + -1iz + -1z = z + -1z

Combine like terms: z + -1z = 0
-2 + Z2 + -1iz + -1z = 0

The solution to this equation could not be determined.

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