(2+i)x^2+(-1+i)x+4-2i=0

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Solution for (2+i)x^2+(-1+i)x+4-2i=0 equation: 


Simplifying
(2 + i) * x2 + (-1 + i) * x + 4 + -2i = 0

Reorder the terms for easier multiplication:
x2(2 + i) + (-1 + i) * x + 4 + -2i = 0
(2 * x2 + i * x2) + (-1 + i) * x + 4 + -2i = 0

Reorder the terms:
(ix2 + 2x2) + (-1 + i) * x + 4 + -2i = 0
(ix2 + 2x2) + (-1 + i) * x + 4 + -2i = 0

Reorder the terms for easier multiplication:
ix2 + 2x2 + x(-1 + i) + 4 + -2i = 0
ix2 + 2x2 + (-1 * x + i * x) + 4 + -2i = 0

Reorder the terms:
ix2 + 2x2 + (ix + -1x) + 4 + -2i = 0
ix2 + 2x2 + (ix + -1x) + 4 + -2i = 0

Reorder the terms:
4 + -2i + ix + ix2 + -1x + 2x2 = 0

Solving
4 + -2i + ix + ix2 + -1x + 2x2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -2i + ix + ix2 + -1x + -4 + 2x2 = 0 + -4

Reorder the terms:
4 + -4 + -2i + ix + ix2 + -1x + 2x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2i + ix + ix2 + -1x + 2x2 = 0 + -4
-2i + ix + ix2 + -1x + 2x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2i + ix + ix2 + -1x + 2x2 = -4

Add 'x' to each side of the equation.
-2i + ix + ix2 + -1x + x + 2x2 = -4 + x

Combine like terms: -1x + x = 0
-2i + ix + ix2 + 0 + 2x2 = -4 + x
-2i + ix + ix2 + 2x2 = -4 + x

Add '-2x2' to each side of the equation.
-2i + ix + ix2 + 2x2 + -2x2 = -4 + x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2i + ix + ix2 + 0 = -4 + x + -2x2
-2i + ix + ix2 = -4 + x + -2x2

Reorder the terms:
4 + -2i + ix + ix2 + -1x + 2x2 = -4 + x + -2x2 + 4 + -1x + 2x2

Reorder the terms:
4 + -2i + ix + ix2 + -1x + 2x2 = -4 + 4 + x + -1x + -2x2 + 2x2

Combine like terms: -4 + 4 = 0
4 + -2i + ix + ix2 + -1x + 2x2 = 0 + x + -1x + -2x2 + 2x2
4 + -2i + ix + ix2 + -1x + 2x2 = x + -1x + -2x2 + 2x2

Combine like terms: x + -1x = 0
4 + -2i + ix + ix2 + -1x + 2x2 = 0 + -2x2 + 2x2
4 + -2i + ix + ix2 + -1x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
4 + -2i + ix + ix2 + -1x + 2x2 = 0

The solution to this equation could not be determined.

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