x^2-(5+6i)x-2+16i=0

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Solution for x^2-(5+6i)x-2+16i=0 equation: 


Simplifying
x2 + -1(5 + 6i) * x + -2 + 16i = 0

Reorder the terms for easier multiplication:
x2 + -1x(5 + 6i) + -2 + 16i = 0
x2 + (5 * -1x + 6i * -1x) + -2 + 16i = 0

Reorder the terms:
x2 + (-6ix + -5x) + -2 + 16i = 0
x2 + (-6ix + -5x) + -2 + 16i = 0

Reorder the terms:
-2 + 16i + -6ix + -5x + x2 = 0

Solving
-2 + 16i + -6ix + -5x + x2 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 16i + -6ix + -5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 16i + -6ix + -5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 16i + -6ix + -5x + x2 = 0 + 2
16i + -6ix + -5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
16i + -6ix + -5x + x2 = 2

Add '5x' to each side of the equation.
16i + -6ix + -5x + 5x + x2 = 2 + 5x

Combine like terms: -5x + 5x = 0
16i + -6ix + 0 + x2 = 2 + 5x
16i + -6ix + x2 = 2 + 5x

Add '-1x2' to each side of the equation.
16i + -6ix + x2 + -1x2 = 2 + 5x + -1x2

Combine like terms: x2 + -1x2 = 0
16i + -6ix + 0 = 2 + 5x + -1x2
16i + -6ix = 2 + 5x + -1x2

Reorder the terms:
-2 + 16i + -6ix + -5x + x2 = 2 + 5x + -1x2 + -2 + -5x + x2

Reorder the terms:
-2 + 16i + -6ix + -5x + x2 = 2 + -2 + 5x + -5x + -1x2 + x2

Combine like terms: 2 + -2 = 0
-2 + 16i + -6ix + -5x + x2 = 0 + 5x + -5x + -1x2 + x2
-2 + 16i + -6ix + -5x + x2 = 5x + -5x + -1x2 + x2

Combine like terms: 5x + -5x = 0
-2 + 16i + -6ix + -5x + x2 = 0 + -1x2 + x2
-2 + 16i + -6ix + -5x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2 + 16i + -6ix + -5x + x2 = 0

The solution to this equation could not be determined.

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