z^2+(1+i)z=4-7i

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Solution for z^2+(1+i)z=4-7i equation:


Simplifying
z2 + (1 + i) * z = 4 + -7i

Reorder the terms for easier multiplication:
z2 + z(1 + i) = 4 + -7i
z2 + (1 * z + i * z) = 4 + -7i

Reorder the terms:
z2 + (iz + 1z) = 4 + -7i
z2 + (iz + 1z) = 4 + -7i

Reorder the terms:
iz + 1z + z2 = 4 + -7i

Solving
iz + 1z + z2 = 4 + -7i

Solving for variable 'i'.

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

Add '7i' to each side of the equation.
iz + 1z + 7i + z2 = 4 + -7i + 7i

Reorder the terms:
7i + iz + 1z + z2 = 4 + -7i + 7i

Combine like terms: -7i + 7i = 0
7i + iz + 1z + z2 = 4 + 0
7i + iz + 1z + z2 = 4

Add '-1z' to each side of the equation.
7i + iz + 1z + -1z + z2 = 4 + -1z

Combine like terms: 1z + -1z = 0
7i + iz + 0 + z2 = 4 + -1z
7i + iz + z2 = 4 + -1z

Add '-1z2' to each side of the equation.
7i + iz + z2 + -1z2 = 4 + -1z + -1z2

Combine like terms: z2 + -1z2 = 0
7i + iz + 0 = 4 + -1z + -1z2
7i + iz = 4 + -1z + -1z2

Reorder the terms:
-4 + 7i + iz + z + z2 = 4 + -1z + -1z2 + -4 + z + z2

Reorder the terms:
-4 + 7i + iz + z + z2 = 4 + -4 + -1z + z + -1z2 + z2

Combine like terms: 4 + -4 = 0
-4 + 7i + iz + z + z2 = 0 + -1z + z + -1z2 + z2
-4 + 7i + iz + z + z2 = -1z + z + -1z2 + z2

Combine like terms: -1z + z = 0
-4 + 7i + iz + z + z2 = 0 + -1z2 + z2
-4 + 7i + iz + z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-4 + 7i + iz + z + z2 = 0

The solution to this equation could not be determined.

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