x^2-2+(2+1)x-6i=0

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Solution for x^2-2+(2+1)x-6i=0 equation: 


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

Combine like terms: 2 + 1 = 3
x2 + -2 + (3) * x + -6i = 0

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

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

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

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

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

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

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

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

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

Divide each side by '-6'.
i = -0.3333333333 + 0.5x + 0.1666666667x2

Simplifying
i = -0.3333333333 + 0.5x + 0.1666666667x2

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