x^2-(3+6i)x-18+2i=0

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Solution for x^2-(3+6i)x-18+2i=0 equation: 


Simplifying
x2 + -1(3 + 6i) * x + -18 + 2i = 0

Reorder the terms for easier multiplication:
x2 + -1x(3 + 6i) + -18 + 2i = 0
x2 + (3 * -1x + 6i * -1x) + -18 + 2i = 0

Reorder the terms:
x2 + (-6ix + -3x) + -18 + 2i = 0
x2 + (-6ix + -3x) + -18 + 2i = 0

Reorder the terms:
-18 + 2i + -6ix + -3x + x2 = 0

Solving
-18 + 2i + -6ix + -3x + x2 = 0

Solving for variable 'i'.

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

Add '18' to each side of the equation.
-18 + 2i + -6ix + -3x + 18 + x2 = 0 + 18

Reorder the terms:
-18 + 18 + 2i + -6ix + -3x + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2i + -6ix + -3x + x2 = 0 + 18
2i + -6ix + -3x + x2 = 0 + 18

Combine like terms: 0 + 18 = 18
2i + -6ix + -3x + x2 = 18

Add '3x' to each side of the equation.
2i + -6ix + -3x + 3x + x2 = 18 + 3x

Combine like terms: -3x + 3x = 0
2i + -6ix + 0 + x2 = 18 + 3x
2i + -6ix + x2 = 18 + 3x

Add '-1x2' to each side of the equation.
2i + -6ix + x2 + -1x2 = 18 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
2i + -6ix + 0 = 18 + 3x + -1x2
2i + -6ix = 18 + 3x + -1x2

Reorder the terms:
-18 + 2i + -6ix + -3x + x2 = 18 + 3x + -1x2 + -18 + -3x + x2

Reorder the terms:
-18 + 2i + -6ix + -3x + x2 = 18 + -18 + 3x + -3x + -1x2 + x2

Combine like terms: 18 + -18 = 0
-18 + 2i + -6ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
-18 + 2i + -6ix + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
-18 + 2i + -6ix + -3x + x2 = 0 + -1x2 + x2
-18 + 2i + -6ix + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-18 + 2i + -6ix + -3x + x2 = 0

The solution to this equation could not be determined.

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