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

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


Simplifying
x2 + (2i + -7) * x + 13 + -1i = 0

Reorder the terms:
x2 + (-7 + 2i) * x + 13 + -1i = 0

Reorder the terms for easier multiplication:
x2 + x(-7 + 2i) + 13 + -1i = 0
x2 + (-7 * x + 2i * x) + 13 + -1i = 0

Reorder the terms:
x2 + (2ix + -7x) + 13 + -1i = 0
x2 + (2ix + -7x) + 13 + -1i = 0

Reorder the terms:
13 + -1i + 2ix + -7x + x2 = 0

Solving
13 + -1i + 2ix + -7x + x2 = 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 + 2ix + -7x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -1i + 2ix + -7x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1i + 2ix + -7x + x2 = 0 + -13
-1i + 2ix + -7x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-1i + 2ix + -7x + x2 = -13

Add '7x' to each side of the equation.
-1i + 2ix + -7x + 7x + x2 = -13 + 7x

Combine like terms: -7x + 7x = 0
-1i + 2ix + 0 + x2 = -13 + 7x
-1i + 2ix + x2 = -13 + 7x

Add '-1x2' to each side of the equation.
-1i + 2ix + x2 + -1x2 = -13 + 7x + -1x2

Combine like terms: x2 + -1x2 = 0
-1i + 2ix + 0 = -13 + 7x + -1x2
-1i + 2ix = -13 + 7x + -1x2

Reorder the terms:
13 + -1i + 2ix + -7x + x2 = -13 + 7x + -1x2 + 13 + -7x + x2

Reorder the terms:
13 + -1i + 2ix + -7x + x2 = -13 + 13 + 7x + -7x + -1x2 + x2

Combine like terms: -13 + 13 = 0
13 + -1i + 2ix + -7x + x2 = 0 + 7x + -7x + -1x2 + x2
13 + -1i + 2ix + -7x + x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
13 + -1i + 2ix + -7x + x2 = 0 + -1x2 + x2
13 + -1i + 2ix + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
13 + -1i + 2ix + -7x + x2 = 0

The solution to this equation could not be determined.

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