x^2+(6+2i)*x+16+12i=0

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Solution for x^2+(6+2i)*x+16+12i=0 equation: 


Simplifying
x2 + (6 + 2i) * x + 16 + 12i = 0

Reorder the terms for easier multiplication:
x2 + x(6 + 2i) + 16 + 12i = 0
x2 + (6 * x + 2i * x) + 16 + 12i = 0

Reorder the terms:
x2 + (2ix + 6x) + 16 + 12i = 0
x2 + (2ix + 6x) + 16 + 12i = 0

Reorder the terms:
16 + 12i + 2ix + 6x + x2 = 0

Solving
16 + 12i + 2ix + 6x + x2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + 12i + 2ix + 6x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 12i + 2ix + 6x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 12i + 2ix + 6x + x2 = 0 + -16
12i + 2ix + 6x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
12i + 2ix + 6x + x2 = -16

Add '-6x' to each side of the equation.
12i + 2ix + 6x + -6x + x2 = -16 + -6x

Combine like terms: 6x + -6x = 0
12i + 2ix + 0 + x2 = -16 + -6x
12i + 2ix + x2 = -16 + -6x

Add '-1x2' to each side of the equation.
12i + 2ix + x2 + -1x2 = -16 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
12i + 2ix + 0 = -16 + -6x + -1x2
12i + 2ix = -16 + -6x + -1x2

Reorder the terms:
16 + 12i + 2ix + 6x + x2 = -16 + -6x + -1x2 + 16 + 6x + x2

Reorder the terms:
16 + 12i + 2ix + 6x + x2 = -16 + 16 + -6x + 6x + -1x2 + x2

Combine like terms: -16 + 16 = 0
16 + 12i + 2ix + 6x + x2 = 0 + -6x + 6x + -1x2 + x2
16 + 12i + 2ix + 6x + x2 = -6x + 6x + -1x2 + x2

Combine like terms: -6x + 6x = 0
16 + 12i + 2ix + 6x + x2 = 0 + -1x2 + x2
16 + 12i + 2ix + 6x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
16 + 12i + 2ix + 6x + x2 = 0

The solution to this equation could not be determined.

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