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

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


Simplifying
X2 + -1(1 + 3i) * x + -2 + 2i = 0

Reorder the terms for easier multiplication:
X2 + -1x(1 + 3i) + -2 + 2i = 0
X2 + (1 * -1x + 3i * -1x) + -2 + 2i = 0

Reorder the terms:
X2 + (-3ix + -1x) + -2 + 2i = 0
X2 + (-3ix + -1x) + -2 + 2i = 0

Reorder the terms:
-2 + X2 + 2i + -3ix + -1x = 0

Solving
-2 + X2 + 2i + -3ix + -1x = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X2 + 2i + -3ix + 2 + -1x = 0 + 2

Reorder the terms:
-2 + 2 + X2 + 2i + -3ix + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 + 2i + -3ix + -1x = 0 + 2
X2 + 2i + -3ix + -1x = 0 + 2

Combine like terms: 0 + 2 = 2
X2 + 2i + -3ix + -1x = 2

Add '-2i' to each side of the equation.
X2 + 2i + -3ix + -2i + -1x = 2 + -2i

Reorder the terms:
X2 + 2i + -2i + -3ix + -1x = 2 + -2i

Combine like terms: 2i + -2i = 0
X2 + 0 + -3ix + -1x = 2 + -2i
X2 + -3ix + -1x = 2 + -2i

Add '3ix' to each side of the equation.
X2 + -3ix + 3ix + -1x = 2 + -2i + 3ix

Combine like terms: -3ix + 3ix = 0
X2 + 0 + -1x = 2 + -2i + 3ix
X2 + -1x = 2 + -2i + 3ix

Add 'x' to each side of the equation.
X2 + -1x + x = 2 + -2i + 3ix + x

Combine like terms: -1x + x = 0
X2 + 0 = 2 + -2i + 3ix + x
X2 = 2 + -2i + 3ix + x

Simplifying
X2 = 2 + -2i + 3ix + x

Reorder the terms:
-2 + X2 + 2i + -3ix + -1x = 2 + -2i + 3ix + x + -2 + 2i + -3ix + -1x

Reorder the terms:
-2 + X2 + 2i + -3ix + -1x = 2 + -2 + -2i + 2i + 3ix + -3ix + x + -1x

Combine like terms: 2 + -2 = 0
-2 + X2 + 2i + -3ix + -1x = 0 + -2i + 2i + 3ix + -3ix + x + -1x
-2 + X2 + 2i + -3ix + -1x = -2i + 2i + 3ix + -3ix + x + -1x

Combine like terms: -2i + 2i = 0
-2 + X2 + 2i + -3ix + -1x = 0 + 3ix + -3ix + x + -1x
-2 + X2 + 2i + -3ix + -1x = 3ix + -3ix + x + -1x

Combine like terms: 3ix + -3ix = 0
-2 + X2 + 2i + -3ix + -1x = 0 + x + -1x
-2 + X2 + 2i + -3ix + -1x = x + -1x

Combine like terms: x + -1x = 0
-2 + X2 + 2i + -3ix + -1x = 0

The solution to this equation could not be determined.

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