x^2+(-2+4*i)*x+(-39-4*i)=0

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Solution for x^2+(-2+4*i)*x+(-39-4*i)=0 equation:


Simplifying
x2 + (-2 + 4i) * x + (-39 + -4i) = 0

Reorder the terms for easier multiplication:
x2 + x(-2 + 4i) + (-39 + -4i) = 0
x2 + (-2 * x + 4i * x) + (-39 + -4i) = 0

Reorder the terms:
x2 + (4ix + -2x) + (-39 + -4i) = 0
x2 + (4ix + -2x) + (-39 + -4i) = 0

Remove parenthesis around (-39 + -4i)
x2 + 4ix + -2x + -39 + -4i = 0

Reorder the terms:
-39 + -4i + 4ix + -2x + x2 = 0

Solving
-39 + -4i + 4ix + -2x + x2 = 0

Solving for variable 'i'.

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

Add '39' to each side of the equation.
-39 + -4i + 4ix + -2x + 39 + x2 = 0 + 39

Reorder the terms:
-39 + 39 + -4i + 4ix + -2x + x2 = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -4i + 4ix + -2x + x2 = 0 + 39
-4i + 4ix + -2x + x2 = 0 + 39

Combine like terms: 0 + 39 = 39
-4i + 4ix + -2x + x2 = 39

Add '2x' to each side of the equation.
-4i + 4ix + -2x + 2x + x2 = 39 + 2x

Combine like terms: -2x + 2x = 0
-4i + 4ix + 0 + x2 = 39 + 2x
-4i + 4ix + x2 = 39 + 2x

Add '-1x2' to each side of the equation.
-4i + 4ix + x2 + -1x2 = 39 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i + 4ix + 0 = 39 + 2x + -1x2
-4i + 4ix = 39 + 2x + -1x2

Reorder the terms:
-39 + -4i + 4ix + -2x + x2 = 39 + 2x + -1x2 + -39 + -2x + x2

Reorder the terms:
-39 + -4i + 4ix + -2x + x2 = 39 + -39 + 2x + -2x + -1x2 + x2

Combine like terms: 39 + -39 = 0
-39 + -4i + 4ix + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-39 + -4i + 4ix + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-39 + -4i + 4ix + -2x + x2 = 0 + -1x2 + x2
-39 + -4i + 4ix + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-39 + -4i + 4ix + -2x + x2 = 0

The solution to this equation could not be determined.

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