(-1+2i)x^2-(-3+3i)x+(-2+4i)=0

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Solution for (-1+2i)x^2-(-3+3i)x+(-2+4i)=0 equation:


Simplifying
(-1 + 2i) * x2 + -1(-3 + 3i) * x + (-2 + 4i) = 0

Reorder the terms for easier multiplication:
x2(-1 + 2i) + -1(-3 + 3i) * x + (-2 + 4i) = 0
(-1 * x2 + 2i * x2) + -1(-3 + 3i) * x + (-2 + 4i) = 0

Reorder the terms:
(2ix2 + -1x2) + -1(-3 + 3i) * x + (-2 + 4i) = 0
(2ix2 + -1x2) + -1(-3 + 3i) * x + (-2 + 4i) = 0

Reorder the terms for easier multiplication:
2ix2 + -1x2 + -1x(-3 + 3i) + (-2 + 4i) = 0
2ix2 + -1x2 + (-3 * -1x + 3i * -1x) + (-2 + 4i) = 0

Reorder the terms:
2ix2 + -1x2 + (-3ix + 3x) + (-2 + 4i) = 0
2ix2 + -1x2 + (-3ix + 3x) + (-2 + 4i) = 0

Remove parenthesis around (-2 + 4i)
2ix2 + -1x2 + -3ix + 3x + -2 + 4i = 0

Reorder the terms:
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0

Solving
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 4i + -3ix + 2ix2 + 3x + 2 + -1x2 = 0 + 2

Reorder the terms:
-2 + 2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0 + 2
4i + -3ix + 2ix2 + 3x + -1x2 = 0 + 2

Combine like terms: 0 + 2 = 2
4i + -3ix + 2ix2 + 3x + -1x2 = 2

Add '-3x' to each side of the equation.
4i + -3ix + 2ix2 + 3x + -3x + -1x2 = 2 + -3x

Combine like terms: 3x + -3x = 0
4i + -3ix + 2ix2 + 0 + -1x2 = 2 + -3x
4i + -3ix + 2ix2 + -1x2 = 2 + -3x

Add 'x2' to each side of the equation.
4i + -3ix + 2ix2 + -1x2 + x2 = 2 + -3x + x2

Combine like terms: -1x2 + x2 = 0
4i + -3ix + 2ix2 + 0 = 2 + -3x + x2
4i + -3ix + 2ix2 = 2 + -3x + x2

Reorder the terms:
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 2 + -3x + x2 + -2 + 3x + -1x2

Reorder the terms:
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 2 + -2 + -3x + 3x + x2 + -1x2

Combine like terms: 2 + -2 = 0
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0 + x2 + -1x2
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 4i + -3ix + 2ix2 + 3x + -1x2 = 0

The solution to this equation could not be determined.

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