x^2+(4-2i)x+(7-4i)=0

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Solution for x^2+(4-2i)x+(7-4i)=0 equation: 


Simplifying
x2 + (4 + -2i) * x + (7 + -4i) = 0

Reorder the terms for easier multiplication:
x2 + x(4 + -2i) + (7 + -4i) = 0
x2 + (4 * x + -2i * x) + (7 + -4i) = 0

Reorder the terms:
x2 + (-2ix + 4x) + (7 + -4i) = 0
x2 + (-2ix + 4x) + (7 + -4i) = 0

Remove parenthesis around (7 + -4i)
x2 + -2ix + 4x + 7 + -4i = 0

Reorder the terms:
7 + -4i + -2ix + 4x + x2 = 0

Solving
7 + -4i + -2ix + 4x + x2 = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -4i + -2ix + 4x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -4i + -2ix + 4x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4i + -2ix + 4x + x2 = 0 + -7
-4i + -2ix + 4x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4i + -2ix + 4x + x2 = -7

Add '-4x' to each side of the equation.
-4i + -2ix + 4x + -4x + x2 = -7 + -4x

Combine like terms: 4x + -4x = 0
-4i + -2ix + 0 + x2 = -7 + -4x
-4i + -2ix + x2 = -7 + -4x

Add '-1x2' to each side of the equation.
-4i + -2ix + x2 + -1x2 = -7 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i + -2ix + 0 = -7 + -4x + -1x2
-4i + -2ix = -7 + -4x + -1x2

Reorder the terms:
7 + -4i + -2ix + 4x + x2 = -7 + -4x + -1x2 + 7 + 4x + x2

Reorder the terms:
7 + -4i + -2ix + 4x + x2 = -7 + 7 + -4x + 4x + -1x2 + x2

Combine like terms: -7 + 7 = 0
7 + -4i + -2ix + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
7 + -4i + -2ix + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
7 + -4i + -2ix + 4x + x2 = 0 + -1x2 + x2
7 + -4i + -2ix + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
7 + -4i + -2ix + 4x + x2 = 0

The solution to this equation could not be determined.

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