x^2-(5-i)*x+12-5i=0

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Solution for x^2-(5-i)*x+12-5i=0 equation: 


Simplifying
x2 + -1(5 + -1i) * x + 12 + -5i = 0

Reorder the terms for easier multiplication:
x2 + -1x(5 + -1i) + 12 + -5i = 0
x2 + (5 * -1x + -1i * -1x) + 12 + -5i = 0

Reorder the terms:
x2 + (1ix + -5x) + 12 + -5i = 0
x2 + (1ix + -5x) + 12 + -5i = 0

Reorder the terms:
12 + -5i + 1ix + -5x + x2 = 0

Solving
12 + -5i + 1ix + -5x + x2 = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -5i + 1ix + -5x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -5i + 1ix + -5x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5i + 1ix + -5x + x2 = 0 + -12
-5i + 1ix + -5x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-5i + 1ix + -5x + x2 = -12

Add '5x' to each side of the equation.
-5i + 1ix + -5x + 5x + x2 = -12 + 5x

Combine like terms: -5x + 5x = 0
-5i + 1ix + 0 + x2 = -12 + 5x
-5i + 1ix + x2 = -12 + 5x

Add '-1x2' to each side of the equation.
-5i + 1ix + x2 + -1x2 = -12 + 5x + -1x2

Combine like terms: x2 + -1x2 = 0
-5i + 1ix + 0 = -12 + 5x + -1x2
-5i + 1ix = -12 + 5x + -1x2

Reorder the terms:
12 + -5i + 1ix + -5x + x2 = -12 + 5x + -1x2 + 12 + -5x + x2

Reorder the terms:
12 + -5i + 1ix + -5x + x2 = -12 + 12 + 5x + -5x + -1x2 + x2

Combine like terms: -12 + 12 = 0
12 + -5i + 1ix + -5x + x2 = 0 + 5x + -5x + -1x2 + x2
12 + -5i + 1ix + -5x + x2 = 5x + -5x + -1x2 + x2

Combine like terms: 5x + -5x = 0
12 + -5i + 1ix + -5x + x2 = 0 + -1x2 + x2
12 + -5i + 1ix + -5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
12 + -5i + 1ix + -5x + x2 = 0

The solution to this equation could not be determined.

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