z^2-(2+5i)z-3+5i=0

Solution for z^2-(2+5i)z-3+5i=0 equation:

Simplifying
z2 + -1(2 + 5i) * z + -3 + 5i = 0

Reorder the terms for easier multiplication:
z2 + -1z(2 + 5i) + -3 + 5i = 0
z2 + (2 * -1z + 5i * -1z) + -3 + 5i = 0

Reorder the terms:
z2 + (-5iz + -2z) + -3 + 5i = 0
z2 + (-5iz + -2z) + -3 + 5i = 0

Reorder the terms:
-3 + 5i + -5iz + -2z + z2 = 0

Solving
-3 + 5i + -5iz + -2z + z2 = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 5i + -5iz + -2z + 3 + z2 = 0 + 3

Reorder the terms:
-3 + 3 + 5i + -5iz + -2z + z2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5i + -5iz + -2z + z2 = 0 + 3
5i + -5iz + -2z + z2 = 0 + 3

Combine like terms: 0 + 3 = 3
5i + -5iz + -2z + z2 = 3

Add '2z' to each side of the equation.
5i + -5iz + -2z + 2z + z2 = 3 + 2z

Combine like terms: -2z + 2z = 0
5i + -5iz + 0 + z2 = 3 + 2z
5i + -5iz + z2 = 3 + 2z

Add '-1z2' to each side of the equation.
5i + -5iz + z2 + -1z2 = 3 + 2z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + -5iz + 0 = 3 + 2z + -1z2
5i + -5iz = 3 + 2z + -1z2

Reorder the terms:
-3 + 5i + -5iz + -2z + z2 = 3 + 2z + -1z2 + -3 + -2z + z2

Reorder the terms:
-3 + 5i + -5iz + -2z + z2 = 3 + -3 + 2z + -2z + -1z2 + z2

Combine like terms: 3 + -3 = 0
-3 + 5i + -5iz + -2z + z2 = 0 + 2z + -2z + -1z2 + z2
-3 + 5i + -5iz + -2z + z2 = 2z + -2z + -1z2 + z2

Combine like terms: 2z + -2z = 0
-3 + 5i + -5iz + -2z + z2 = 0 + -1z2 + z2
-3 + 5i + -5iz + -2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-3 + 5i + -5iz + -2z + z2 = 0

The solution to this equation could not be determined.