(3-4i)x^2+8x+3+4i=0

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Solution for (3-4i)x^2+8x+3+4i=0 equation: 


Simplifying
(3 + -4i) * x2 + 8x + 3 + 4i = 0

Reorder the terms for easier multiplication:
x2(3 + -4i) + 8x + 3 + 4i = 0
(3 * x2 + -4i * x2) + 8x + 3 + 4i = 0

Reorder the terms:
(-4ix2 + 3x2) + 8x + 3 + 4i = 0
(-4ix2 + 3x2) + 8x + 3 + 4i = 0

Reorder the terms:
3 + 4i + -4ix2 + 8x + 3x2 = 0

Solving
3 + 4i + -4ix2 + 8x + 3x2 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + 4i + -4ix2 + 8x + -3 + 3x2 = 0 + -3

Reorder the terms:
3 + -3 + 4i + -4ix2 + 8x + 3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4i + -4ix2 + 8x + 3x2 = 0 + -3
4i + -4ix2 + 8x + 3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
4i + -4ix2 + 8x + 3x2 = -3

Add '-8x' to each side of the equation.
4i + -4ix2 + 8x + -8x + 3x2 = -3 + -8x

Combine like terms: 8x + -8x = 0
4i + -4ix2 + 0 + 3x2 = -3 + -8x
4i + -4ix2 + 3x2 = -3 + -8x

Add '-3x2' to each side of the equation.
4i + -4ix2 + 3x2 + -3x2 = -3 + -8x + -3x2

Combine like terms: 3x2 + -3x2 = 0
4i + -4ix2 + 0 = -3 + -8x + -3x2
4i + -4ix2 = -3 + -8x + -3x2

Reorder the terms:
3 + 4i + -4ix2 + 8x + 3x2 = -3 + -8x + -3x2 + 3 + 8x + 3x2

Reorder the terms:
3 + 4i + -4ix2 + 8x + 3x2 = -3 + 3 + -8x + 8x + -3x2 + 3x2

Combine like terms: -3 + 3 = 0
3 + 4i + -4ix2 + 8x + 3x2 = 0 + -8x + 8x + -3x2 + 3x2
3 + 4i + -4ix2 + 8x + 3x2 = -8x + 8x + -3x2 + 3x2

Combine like terms: -8x + 8x = 0
3 + 4i + -4ix2 + 8x + 3x2 = 0 + -3x2 + 3x2
3 + 4i + -4ix2 + 8x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
3 + 4i + -4ix2 + 8x + 3x2 = 0

The solution to this equation could not be determined.

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