z^2+(2-i)z-(1+7i)=0

Solution for z^2+(2-i)z-(1+7i)=0 equation:

Simplifying
z2 + (2 + -1i) * z + -1(1 + 7i) = 0

Reorder the terms for easier multiplication:
z2 + z(2 + -1i) + -1(1 + 7i) = 0
z2 + (2 * z + -1i * z) + -1(1 + 7i) = 0

Reorder the terms:
z2 + (-1iz + 2z) + -1(1 + 7i) = 0
z2 + (-1iz + 2z) + -1(1 + 7i) = 0
z2 + -1iz + 2z + (1 * -1 + 7i * -1) = 0
z2 + -1iz + 2z + (-1 + -7i) = 0

Reorder the terms:
-1 + -7i + -1iz + 2z + z2 = 0

Solving
-1 + -7i + -1iz + 2z + z2 = 0

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 + -7i + -1iz + 2z + 1 + z2 = 0 + 1

Reorder the terms:
-1 + 1 + -7i + -1iz + 2z + z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7i + -1iz + 2z + z2 = 0 + 1
-7i + -1iz + 2z + z2 = 0 + 1

Combine like terms: 0 + 1 = 1
-7i + -1iz + 2z + z2 = 1

Add '-2z' to each side of the equation.
-7i + -1iz + 2z + -2z + z2 = 1 + -2z

Combine like terms: 2z + -2z = 0
-7i + -1iz + 0 + z2 = 1 + -2z
-7i + -1iz + z2 = 1 + -2z

Add '-1z2' to each side of the equation.
-7i + -1iz + z2 + -1z2 = 1 + -2z + -1z2

Combine like terms: z2 + -1z2 = 0
-7i + -1iz + 0 = 1 + -2z + -1z2
-7i + -1iz = 1 + -2z + -1z2

Reorder the terms:
-1 + -7i + -1iz + 2z + z2 = 1 + -2z + -1z2 + -1 + 2z + z2

Reorder the terms:
-1 + -7i + -1iz + 2z + z2 = 1 + -1 + -2z + 2z + -1z2 + z2

Combine like terms: 1 + -1 = 0
-1 + -7i + -1iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2
-1 + -7i + -1iz + 2z + z2 = -2z + 2z + -1z2 + z2

Combine like terms: -2z + 2z = 0
-1 + -7i + -1iz + 2z + z2 = 0 + -1z2 + z2
-1 + -7i + -1iz + 2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-1 + -7i + -1iz + 2z + z2 = 0

The solution to this equation could not be determined.