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

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

Simplifying
z2 + -1(2 + i) * z + 8i = 0

Reorder the terms for easier multiplication:
z2 + -1z(2 + i) + 8i = 0
z2 + (2 * -1z + i * -1z) + 8i = 0

Reorder the terms:
z2 + (-1iz + -2z) + 8i = 0
z2 + (-1iz + -2z) + 8i = 0

Reorder the terms:
8i + -1iz + -2z + z2 = 0

Solving
8i + -1iz + -2z + z2 = 0

Solving for variable 'i'.

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

Add '2z' to each side of the equation.
8i + -1iz + -2z + 2z + z2 = 0 + 2z

Combine like terms: -2z + 2z = 0
8i + -1iz + 0 + z2 = 0 + 2z
8i + -1iz + z2 = 0 + 2z
Remove the zero:
8i + -1iz + z2 = 2z

Add '-1z2' to each side of the equation.
8i + -1iz + z2 + -1z2 = 2z + -1z2

Combine like terms: z2 + -1z2 = 0
8i + -1iz + 0 = 2z + -1z2
8i + -1iz = 2z + -1z2

Reorder the terms:
8i + -1iz + -2z + z2 = 2z + -2z + -1z2 + z2

Combine like terms: 2z + -2z = 0
8i + -1iz + -2z + z2 = 0 + -1z2 + z2
8i + -1iz + -2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
8i + -1iz + -2z + z2 = 0

The solution to this equation could not be determined.