z^2+(6+8i)z+(-8+24i)=0

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Solution for z^2+(6+8i)z+(-8+24i)=0 equation: 


Simplifying
z2 + (6 + 8i) * z + (-8 + 24i) = 0

Reorder the terms for easier multiplication:
z2 + z(6 + 8i) + (-8 + 24i) = 0
z2 + (6 * z + 8i * z) + (-8 + 24i) = 0

Reorder the terms:
z2 + (8iz + 6z) + (-8 + 24i) = 0
z2 + (8iz + 6z) + (-8 + 24i) = 0

Remove parenthesis around (-8 + 24i)
z2 + 8iz + 6z + -8 + 24i = 0

Reorder the terms:
-8 + 24i + 8iz + 6z + z2 = 0

Solving
-8 + 24i + 8iz + 6z + z2 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 24i + 8iz + 6z + 8 + z2 = 0 + 8

Reorder the terms:
-8 + 8 + 24i + 8iz + 6z + z2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 24i + 8iz + 6z + z2 = 0 + 8
24i + 8iz + 6z + z2 = 0 + 8

Combine like terms: 0 + 8 = 8
24i + 8iz + 6z + z2 = 8

Add '-6z' to each side of the equation.
24i + 8iz + 6z + -6z + z2 = 8 + -6z

Combine like terms: 6z + -6z = 0
24i + 8iz + 0 + z2 = 8 + -6z
24i + 8iz + z2 = 8 + -6z

Add '-1z2' to each side of the equation.
24i + 8iz + z2 + -1z2 = 8 + -6z + -1z2

Combine like terms: z2 + -1z2 = 0
24i + 8iz + 0 = 8 + -6z + -1z2
24i + 8iz = 8 + -6z + -1z2

Reorder the terms:
-8 + 24i + 8iz + 6z + z2 = 8 + -6z + -1z2 + -8 + 6z + z2

Reorder the terms:
-8 + 24i + 8iz + 6z + z2 = 8 + -8 + -6z + 6z + -1z2 + z2

Combine like terms: 8 + -8 = 0
-8 + 24i + 8iz + 6z + z2 = 0 + -6z + 6z + -1z2 + z2
-8 + 24i + 8iz + 6z + z2 = -6z + 6z + -1z2 + z2

Combine like terms: -6z + 6z = 0
-8 + 24i + 8iz + 6z + z2 = 0 + -1z2 + z2
-8 + 24i + 8iz + 6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-8 + 24i + 8iz + 6z + z2 = 0

The solution to this equation could not be determined.

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