z^2+(12+6i)z+(11+24i)=0

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Solution for z^2+(12+6i)z+(11+24i)=0 equation: 


Simplifying
z2 + (12 + 6i) * z + (11 + 24i) = 0

Reorder the terms for easier multiplication:
z2 + z(12 + 6i) + (11 + 24i) = 0
z2 + (12 * z + 6i * z) + (11 + 24i) = 0

Reorder the terms:
z2 + (6iz + 12z) + (11 + 24i) = 0
z2 + (6iz + 12z) + (11 + 24i) = 0

Remove parenthesis around (11 + 24i)
z2 + 6iz + 12z + 11 + 24i = 0

Reorder the terms:
11 + 24i + 6iz + 12z + z2 = 0

Solving
11 + 24i + 6iz + 12z + z2 = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + 24i + 6iz + 12z + -11 + z2 = 0 + -11

Reorder the terms:
11 + -11 + 24i + 6iz + 12z + z2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 24i + 6iz + 12z + z2 = 0 + -11
24i + 6iz + 12z + z2 = 0 + -11

Combine like terms: 0 + -11 = -11
24i + 6iz + 12z + z2 = -11

Add '-12z' to each side of the equation.
24i + 6iz + 12z + -12z + z2 = -11 + -12z

Combine like terms: 12z + -12z = 0
24i + 6iz + 0 + z2 = -11 + -12z
24i + 6iz + z2 = -11 + -12z

Add '-1z2' to each side of the equation.
24i + 6iz + z2 + -1z2 = -11 + -12z + -1z2

Combine like terms: z2 + -1z2 = 0
24i + 6iz + 0 = -11 + -12z + -1z2
24i + 6iz = -11 + -12z + -1z2

Reorder the terms:
11 + 24i + 6iz + 12z + z2 = -11 + -12z + -1z2 + 11 + 12z + z2

Reorder the terms:
11 + 24i + 6iz + 12z + z2 = -11 + 11 + -12z + 12z + -1z2 + z2

Combine like terms: -11 + 11 = 0
11 + 24i + 6iz + 12z + z2 = 0 + -12z + 12z + -1z2 + z2
11 + 24i + 6iz + 12z + z2 = -12z + 12z + -1z2 + z2

Combine like terms: -12z + 12z = 0
11 + 24i + 6iz + 12z + z2 = 0 + -1z2 + z2
11 + 24i + 6iz + 12z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
11 + 24i + 6iz + 12z + z2 = 0

The solution to this equation could not be determined.

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