3x^2+(1+2i)x+1-i=0

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Solution for 3x^2+(1+2i)x+1-i=0 equation: 


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

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

Reorder the terms:
3x2 + (2ix + 1x) + 1 + -1i = 0
3x2 + (2ix + 1x) + 1 + -1i = 0

Reorder the terms:
1 + -1i + 2ix + 1x + 3x2 = 0

Solving
1 + -1i + 2ix + 1x + 3x2 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1i + 2ix + 1x + -1 + 3x2 = 0 + -1

Reorder the terms:
1 + -1 + -1i + 2ix + 1x + 3x2 = 0 + -1

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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