z^2-(5+i)+(8+i)=0

Solution for z^2-(5+i)+(8+i)=0 equation:

Simplifying
z2 + -1(5 + i) + (8 + i) = 0
z2 + (5 * -1 + i * -1) + (8 + i) = 0
z2 + (-5 + -1i) + (8 + i) = 0

Remove parenthesis around (8 + i)
z2 + -5 + -1i + 8 + i = 0

Reorder the terms:
-5 + 8 + -1i + i + z2 = 0

Combine like terms: -5 + 8 = 3
3 + -1i + i + z2 = 0

Combine like terms: -1i + i = 0
3 + 0 + z2 = 0
3 + z2 = 0

Solving
3 + z2 = 0

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + z2 = 0 + -3
z2 = 0 + -3

Combine like terms: 0 + -3 = -3
z2 = -3

Simplifying
z2 = -3

Reorder the terms:
3 + z2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + z2 = 0

The solution to this equation could not be determined.