(3-i)*x^2+(6+8i)*x+(-5+5i)=0

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Solution for (3-i)*x^2+(6+8i)*x+(-5+5i)=0 equation: 


Simplifying
(3 + -1i) * x2 + (6 + 8i) * x + (-5 + 5i) = 0

Reorder the terms for easier multiplication:
x2(3 + -1i) + (6 + 8i) * x + (-5 + 5i) = 0
(3 * x2 + -1i * x2) + (6 + 8i) * x + (-5 + 5i) = 0

Reorder the terms:
(-1ix2 + 3x2) + (6 + 8i) * x + (-5 + 5i) = 0
(-1ix2 + 3x2) + (6 + 8i) * x + (-5 + 5i) = 0

Reorder the terms for easier multiplication:
-1ix2 + 3x2 + x(6 + 8i) + (-5 + 5i) = 0
-1ix2 + 3x2 + (6 * x + 8i * x) + (-5 + 5i) = 0

Reorder the terms:
-1ix2 + 3x2 + (8ix + 6x) + (-5 + 5i) = 0
-1ix2 + 3x2 + (8ix + 6x) + (-5 + 5i) = 0

Remove parenthesis around (-5 + 5i)
-1ix2 + 3x2 + 8ix + 6x + -5 + 5i = 0

Reorder the terms:
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0

Solving
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5i + 8ix + -1ix2 + 6x + 5 + 3x2 = 0 + 5

Reorder the terms:
-5 + 5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0 + 5
5i + 8ix + -1ix2 + 6x + 3x2 = 0 + 5

Combine like terms: 0 + 5 = 5
5i + 8ix + -1ix2 + 6x + 3x2 = 5

Add '-6x' to each side of the equation.
5i + 8ix + -1ix2 + 6x + -6x + 3x2 = 5 + -6x

Combine like terms: 6x + -6x = 0
5i + 8ix + -1ix2 + 0 + 3x2 = 5 + -6x
5i + 8ix + -1ix2 + 3x2 = 5 + -6x

Add '-3x2' to each side of the equation.
5i + 8ix + -1ix2 + 3x2 + -3x2 = 5 + -6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
5i + 8ix + -1ix2 + 0 = 5 + -6x + -3x2
5i + 8ix + -1ix2 = 5 + -6x + -3x2

Reorder the terms:
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 5 + -6x + -3x2 + -5 + 6x + 3x2

Reorder the terms:
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 5 + -5 + -6x + 6x + -3x2 + 3x2

Combine like terms: 5 + -5 = 0
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0 + -6x + 6x + -3x2 + 3x2
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = -6x + 6x + -3x2 + 3x2

Combine like terms: -6x + 6x = 0
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0 + -3x2 + 3x2
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5 + 5i + 8ix + -1ix2 + 6x + 3x2 = 0

The solution to this equation could not be determined.

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