z^2+(7-7i)z+(2-26i)=0

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Solution for z^2+(7-7i)z+(2-26i)=0 equation: 


Simplifying
z2 + (7 + -7i) * z + (2 + -26i) = 0

Reorder the terms for easier multiplication:
z2 + z(7 + -7i) + (2 + -26i) = 0
z2 + (7 * z + -7i * z) + (2 + -26i) = 0

Reorder the terms:
z2 + (-7iz + 7z) + (2 + -26i) = 0
z2 + (-7iz + 7z) + (2 + -26i) = 0

Remove parenthesis around (2 + -26i)
z2 + -7iz + 7z + 2 + -26i = 0

Reorder the terms:
2 + -26i + -7iz + 7z + z2 = 0

Solving
2 + -26i + -7iz + 7z + z2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -26i + -7iz + 7z + -2 + z2 = 0 + -2

Reorder the terms:
2 + -2 + -26i + -7iz + 7z + z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -26i + -7iz + 7z + z2 = 0 + -2
-26i + -7iz + 7z + z2 = 0 + -2

Combine like terms: 0 + -2 = -2
-26i + -7iz + 7z + z2 = -2

Add '-7z' to each side of the equation.
-26i + -7iz + 7z + -7z + z2 = -2 + -7z

Combine like terms: 7z + -7z = 0
-26i + -7iz + 0 + z2 = -2 + -7z
-26i + -7iz + z2 = -2 + -7z

Add '-1z2' to each side of the equation.
-26i + -7iz + z2 + -1z2 = -2 + -7z + -1z2

Combine like terms: z2 + -1z2 = 0
-26i + -7iz + 0 = -2 + -7z + -1z2
-26i + -7iz = -2 + -7z + -1z2

Reorder the terms:
2 + -26i + -7iz + 7z + z2 = -2 + -7z + -1z2 + 2 + 7z + z2

Reorder the terms:
2 + -26i + -7iz + 7z + z2 = -2 + 2 + -7z + 7z + -1z2 + z2

Combine like terms: -2 + 2 = 0
2 + -26i + -7iz + 7z + z2 = 0 + -7z + 7z + -1z2 + z2
2 + -26i + -7iz + 7z + z2 = -7z + 7z + -1z2 + z2

Combine like terms: -7z + 7z = 0
2 + -26i + -7iz + 7z + z2 = 0 + -1z2 + z2
2 + -26i + -7iz + 7z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
2 + -26i + -7iz + 7z + z2 = 0

The solution to this equation could not be determined.

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