z^2+(-1-5i)z+(-24+16i)=0

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Solution for z^2+(-1-5i)z+(-24+16i)=0 equation: 


Simplifying
z2 + (-1 + -5i) * z + (-24 + 16i) = 0

Reorder the terms for easier multiplication:
z2 + z(-1 + -5i) + (-24 + 16i) = 0
z2 + (-1 * z + -5i * z) + (-24 + 16i) = 0

Reorder the terms:
z2 + (-5iz + -1z) + (-24 + 16i) = 0
z2 + (-5iz + -1z) + (-24 + 16i) = 0

Remove parenthesis around (-24 + 16i)
z2 + -5iz + -1z + -24 + 16i = 0

Reorder the terms:
-24 + 16i + -5iz + -1z + z2 = 0

Solving
-24 + 16i + -5iz + -1z + z2 = 0

Solving for variable 'i'.

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

Add '24' to each side of the equation.
-24 + 16i + -5iz + -1z + 24 + z2 = 0 + 24

Reorder the terms:
-24 + 24 + 16i + -5iz + -1z + z2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 16i + -5iz + -1z + z2 = 0 + 24
16i + -5iz + -1z + z2 = 0 + 24

Combine like terms: 0 + 24 = 24
16i + -5iz + -1z + z2 = 24

Add 'z' to each side of the equation.
16i + -5iz + -1z + z + z2 = 24 + z

Combine like terms: -1z + z = 0
16i + -5iz + 0 + z2 = 24 + z
16i + -5iz + z2 = 24 + z

Add '-1z2' to each side of the equation.
16i + -5iz + z2 + -1z2 = 24 + z + -1z2

Combine like terms: z2 + -1z2 = 0
16i + -5iz + 0 = 24 + z + -1z2
16i + -5iz = 24 + z + -1z2

Reorder the terms:
-24 + 16i + -5iz + -1z + z2 = 24 + z + -1z2 + -24 + -1z + z2

Reorder the terms:
-24 + 16i + -5iz + -1z + z2 = 24 + -24 + z + -1z + -1z2 + z2

Combine like terms: 24 + -24 = 0
-24 + 16i + -5iz + -1z + z2 = 0 + z + -1z + -1z2 + z2
-24 + 16i + -5iz + -1z + z2 = z + -1z + -1z2 + z2

Combine like terms: z + -1z = 0
-24 + 16i + -5iz + -1z + z2 = 0 + -1z2 + z2
-24 + 16i + -5iz + -1z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-24 + 16i + -5iz + -1z + z2 = 0

The solution to this equation could not be determined.

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