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

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


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

Remove parenthesis around (14 + -5I)
z2 + -7z + 1zI + 14 + -5I = 0

Reorder the terms:
14 + -5I + -7z + 1zI + z2 = 0

Solving
14 + -5I + -7z + 1zI + 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 + -7z + 1zI + -14 + z2 = 0 + -14

Reorder the terms:
14 + -14 + -5I + -7z + 1zI + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5I + -7z + 1zI + z2 = 0 + -14
-5I + -7z + 1zI + z2 = 0 + -14

Combine like terms: 0 + -14 = -14
-5I + -7z + 1zI + z2 = -14

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

Reorder the terms:
-5I + -7z + 7z + 1zI + z2 = -14 + 7z

Combine like terms: -7z + 7z = 0
-5I + 0 + 1zI + z2 = -14 + 7z
-5I + 1zI + z2 = -14 + 7z

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

Combine like terms: z2 + -1z2 = 0
-5I + 1zI + 0 = -14 + 7z + -1z2
-5I + 1zI = -14 + 7z + -1z2

Reorder the terms:
14 + -5I + -7z + 1zI + z2 = -14 + 7z + -1z2 + 14 + -7z + z2

Reorder the terms:
14 + -5I + -7z + 1zI + z2 = -14 + 14 + 7z + -7z + -1z2 + z2

Combine like terms: -14 + 14 = 0
14 + -5I + -7z + 1zI + z2 = 0 + 7z + -7z + -1z2 + z2
14 + -5I + -7z + 1zI + z2 = 7z + -7z + -1z2 + z2

Combine like terms: 7z + -7z = 0
14 + -5I + -7z + 1zI + z2 = 0 + -1z2 + z2
14 + -5I + -7z + 1zI + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
14 + -5I + -7z + 1zI + z2 = 0

The solution to this equation could not be determined.

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