z^2+(2i-7)z+13-i=0

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Solution for z^2+(2i-7)z+13-i=0 equation: 


Simplifying
z2 + (2i + -7) * z + 13 + -1i = 0

Reorder the terms:
z2 + (-7 + 2i) * z + 13 + -1i = 0

Reorder the terms for easier multiplication:
z2 + z(-7 + 2i) + 13 + -1i = 0
z2 + (-7 * z + 2i * z) + 13 + -1i = 0

Reorder the terms:
z2 + (2iz + -7z) + 13 + -1i = 0
z2 + (2iz + -7z) + 13 + -1i = 0

Reorder the terms:
13 + -1i + 2iz + -7z + z2 = 0

Solving
13 + -1i + 2iz + -7z + z2 = 0

Solving for variable 'i'.

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

Add '-13' to each side of the equation.
13 + -1i + 2iz + -7z + -13 + z2 = 0 + -13

Reorder the terms:
13 + -13 + -1i + 2iz + -7z + z2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1i + 2iz + -7z + z2 = 0 + -13
-1i + 2iz + -7z + z2 = 0 + -13

Combine like terms: 0 + -13 = -13
-1i + 2iz + -7z + z2 = -13

Add '7z' to each side of the equation.
-1i + 2iz + -7z + 7z + z2 = -13 + 7z

Combine like terms: -7z + 7z = 0
-1i + 2iz + 0 + z2 = -13 + 7z
-1i + 2iz + z2 = -13 + 7z

Add '-1z2' to each side of the equation.
-1i + 2iz + z2 + -1z2 = -13 + 7z + -1z2

Combine like terms: z2 + -1z2 = 0
-1i + 2iz + 0 = -13 + 7z + -1z2
-1i + 2iz = -13 + 7z + -1z2

Reorder the terms:
13 + -1i + 2iz + -7z + z2 = -13 + 7z + -1z2 + 13 + -7z + z2

Reorder the terms:
13 + -1i + 2iz + -7z + z2 = -13 + 13 + 7z + -7z + -1z2 + z2

Combine like terms: -13 + 13 = 0
13 + -1i + 2iz + -7z + z2 = 0 + 7z + -7z + -1z2 + z2
13 + -1i + 2iz + -7z + z2 = 7z + -7z + -1z2 + z2

Combine like terms: 7z + -7z = 0
13 + -1i + 2iz + -7z + z2 = 0 + -1z2 + z2
13 + -1i + 2iz + -7z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
13 + -1i + 2iz + -7z + z2 = 0

The solution to this equation could not be determined.

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