x^3+(7-4i)x^2+(12-28i)x-48i=0

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Solution for x^3+(7-4i)x^2+(12-28i)x-48i=0 equation: 


Simplifying
x3 + (7 + -4i) * x2 + (12 + -28i) * x + -48i = 0

Reorder the terms for easier multiplication:
x3 + x2(7 + -4i) + (12 + -28i) * x + -48i = 0
x3 + (7 * x2 + -4i * x2) + (12 + -28i) * x + -48i = 0

Reorder the terms:
x3 + (-4ix2 + 7x2) + (12 + -28i) * x + -48i = 0
x3 + (-4ix2 + 7x2) + (12 + -28i) * x + -48i = 0

Reorder the terms for easier multiplication:
x3 + -4ix2 + 7x2 + x(12 + -28i) + -48i = 0
x3 + -4ix2 + 7x2 + (12 * x + -28i * x) + -48i = 0

Reorder the terms:
x3 + -4ix2 + 7x2 + (-28ix + 12x) + -48i = 0
x3 + -4ix2 + 7x2 + (-28ix + 12x) + -48i = 0

Reorder the terms:
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = 0

Solving
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = 0

Solving for variable 'i'.

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

Add '-12x' to each side of the equation.
-48i + -28ix + -4ix2 + 12x + 7x2 + -12x + x3 = 0 + -12x

Reorder the terms:
-48i + -28ix + -4ix2 + 12x + -12x + 7x2 + x3 = 0 + -12x

Combine like terms: 12x + -12x = 0
-48i + -28ix + -4ix2 + 0 + 7x2 + x3 = 0 + -12x
-48i + -28ix + -4ix2 + 7x2 + x3 = 0 + -12x
Remove the zero:
-48i + -28ix + -4ix2 + 7x2 + x3 = -12x

Add '-7x2' to each side of the equation.
-48i + -28ix + -4ix2 + 7x2 + -7x2 + x3 = -12x + -7x2

Combine like terms: 7x2 + -7x2 = 0
-48i + -28ix + -4ix2 + 0 + x3 = -12x + -7x2
-48i + -28ix + -4ix2 + x3 = -12x + -7x2

Add '-1x3' to each side of the equation.
-48i + -28ix + -4ix2 + x3 + -1x3 = -12x + -7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-48i + -28ix + -4ix2 + 0 = -12x + -7x2 + -1x3
-48i + -28ix + -4ix2 = -12x + -7x2 + -1x3

Reorder the terms:
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = -12x + 12x + -7x2 + 7x2 + -1x3 + x3

Combine like terms: -12x + 12x = 0
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = 0 + -7x2 + 7x2 + -1x3 + x3
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = -7x2 + 7x2 + -1x3 + x3

Combine like terms: -7x2 + 7x2 = 0
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = 0 + -1x3 + x3
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-48i + -28ix + -4ix2 + 12x + 7x2 + x3 = 0

The solution to this equation could not be determined.

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