z^2-(7-i)z+14-5i=0

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Solution for z^2-(7-i)z+14-5i=0 equation: 


Simplifying
z2 + -1(7 + -1i) * z + 14 + -5i = 0

Reorder the terms for easier multiplication:
z2 + -1z(7 + -1i) + 14 + -5i = 0
z2 + (7 * -1z + -1i * -1z) + 14 + -5i = 0

Reorder the terms:
z2 + (1iz + -7z) + 14 + -5i = 0
z2 + (1iz + -7z) + 14 + -5i = 0

Reorder the terms:
14 + -5i + 1iz + -7z + z2 = 0

Solving
14 + -5i + 1iz + -7z + z2 = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + -5i + 1iz + -7z + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + -5i + 1iz + -7z + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5i + 1iz + -7z + z2 = 0 + -14
-5i + 1iz + -7z + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
-5i + 1iz + -7z + z2 = -14

Add '7z' to each side of the equation.
-5i + 1iz + -7z + 7z + z2 = -14 + 7z

Combine like terms: -7z + 7z = 0
-5i + 1iz + 0 + z2 = -14 + 7z
-5i + 1iz + z2 = -14 + 7z

Add '-1z2' to each side of the equation.
-5i + 1iz + z2 + -1z2 = -14 + 7z + -1z2

Combine like terms: z2 + -1z2 = 0
-5i + 1iz + 0 = -14 + 7z + -1z2
-5i + 1iz = -14 + 7z + -1z2

Reorder the terms:
14 + -5i + 1iz + -7z + z2 = -14 + 7z + -1z2 + 14 + -7z + z2

Reorder the terms:
14 + -5i + 1iz + -7z + z2 = -14 + 14 + 7z + -7z + -1z2 + z2

Combine like terms: -14 + 14 = 0
14 + -5i + 1iz + -7z + z2 = 0 + 7z + -7z + -1z2 + z2
14 + -5i + 1iz + -7z + z2 = 7z + -7z + -1z2 + z2

Combine like terms: 7z + -7z = 0
14 + -5i + 1iz + -7z + z2 = 0 + -1z2 + z2
14 + -5i + 1iz + -7z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
14 + -5i + 1iz + -7z + z2 = 0

The solution to this equation could not be determined.

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