(x^2-2.5x+1)(x^2-12i-5)=0

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Solution for (x^2-2.5x+1)(x^2-12i-5)=0 equation: 


Simplifying
(x2 + -2.5x + 1)(x2 + -12i + -5) = 0

Reorder the terms:
(1 + -2.5x + x2)(x2 + -12i + -5) = 0

Reorder the terms:
(1 + -2.5x + x2)(-5 + -12i + x2) = 0

Multiply (1 + -2.5x + x2) * (-5 + -12i + x2)
(1(-5 + -12i + x2) + -2.5x * (-5 + -12i + x2) + x2(-5 + -12i + x2)) = 0
((-5 * 1 + -12i * 1 + x2 * 1) + -2.5x * (-5 + -12i + x2) + x2(-5 + -12i + x2)) = 0
((-5 + -12i + 1x2) + -2.5x * (-5 + -12i + x2) + x2(-5 + -12i + x2)) = 0
(-5 + -12i + 1x2 + (-5 * -2.5x + -12i * -2.5x + x2 * -2.5x) + x2(-5 + -12i + x2)) = 0

Reorder the terms:
(-5 + -12i + 1x2 + (30ix + 12.5x + -2.5x3) + x2(-5 + -12i + x2)) = 0
(-5 + -12i + 1x2 + (30ix + 12.5x + -2.5x3) + x2(-5 + -12i + x2)) = 0
(-5 + -12i + 1x2 + 30ix + 12.5x + -2.5x3 + (-5 * x2 + -12i * x2 + x2 * x2)) = 0

Reorder the terms:
(-5 + -12i + 1x2 + 30ix + 12.5x + -2.5x3 + (-12ix2 + -5x2 + x4)) = 0
(-5 + -12i + 1x2 + 30ix + 12.5x + -2.5x3 + (-12ix2 + -5x2 + x4)) = 0

Reorder the terms:
(-5 + -12i + 30ix + -12ix2 + 12.5x + 1x2 + -5x2 + -2.5x3 + x4) = 0

Combine like terms: 1x2 + -5x2 = -4x2
(-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4) = 0

Solving
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 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 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + 5 + x4 = 0 + 5

Reorder the terms:
-5 + 5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0 + 5
-12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0 + 5

Combine like terms: 0 + 5 = 5
-12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 5

Add '-12.5x' to each side of the equation.
-12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + -12.5x + x4 = 5 + -12.5x

Reorder the terms:
-12i + 30ix + -12ix2 + 12.5x + -12.5x + -4x2 + -2.5x3 + x4 = 5 + -12.5x

Combine like terms: 12.5x + -12.5x = 0.0
-12i + 30ix + -12ix2 + 0.0 + -4x2 + -2.5x3 + x4 = 5 + -12.5x
-12i + 30ix + -12ix2 + -4x2 + -2.5x3 + x4 = 5 + -12.5x

Add '4x2' to each side of the equation.
-12i + 30ix + -12ix2 + -4x2 + -2.5x3 + 4x2 + x4 = 5 + -12.5x + 4x2

Reorder the terms:
-12i + 30ix + -12ix2 + -4x2 + 4x2 + -2.5x3 + x4 = 5 + -12.5x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-12i + 30ix + -12ix2 + 0 + -2.5x3 + x4 = 5 + -12.5x + 4x2
-12i + 30ix + -12ix2 + -2.5x3 + x4 = 5 + -12.5x + 4x2

Add '2.5x3' to each side of the equation.
-12i + 30ix + -12ix2 + -2.5x3 + 2.5x3 + x4 = 5 + -12.5x + 4x2 + 2.5x3

Combine like terms: -2.5x3 + 2.5x3 = 0.0
-12i + 30ix + -12ix2 + 0.0 + x4 = 5 + -12.5x + 4x2 + 2.5x3
-12i + 30ix + -12ix2 + x4 = 5 + -12.5x + 4x2 + 2.5x3

Add '-1x4' to each side of the equation.
-12i + 30ix + -12ix2 + x4 + -1x4 = 5 + -12.5x + 4x2 + 2.5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-12i + 30ix + -12ix2 + 0 = 5 + -12.5x + 4x2 + 2.5x3 + -1x4
-12i + 30ix + -12ix2 = 5 + -12.5x + 4x2 + 2.5x3 + -1x4

Reorder the terms:
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 5 + -12.5x + 4x2 + 2.5x3 + -1x4 + -5 + 12.5x + -4x2 + -2.5x3 + x4

Reorder the terms:
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 5 + -5 + -12.5x + 12.5x + 4x2 + -4x2 + 2.5x3 + -2.5x3 + -1x4 + x4

Combine like terms: 5 + -5 = 0
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0 + -12.5x + 12.5x + 4x2 + -4x2 + 2.5x3 + -2.5x3 + -1x4 + x4
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = -12.5x + 12.5x + 4x2 + -4x2 + 2.5x3 + -2.5x3 + -1x4 + x4

Combine like terms: -12.5x + 12.5x = 0.0
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0.0 + 4x2 + -4x2 + 2.5x3 + -2.5x3 + -1x4 + x4
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 4x2 + -4x2 + 2.5x3 + -2.5x3 + -1x4 + x4

Combine like terms: 4x2 + -4x2 = 0
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0 + 2.5x3 + -2.5x3 + -1x4 + x4
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 2.5x3 + -2.5x3 + -1x4 + x4

Combine like terms: 2.5x3 + -2.5x3 = 0.0
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0.0 + -1x4 + x4
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-5 + -12i + 30ix + -12ix2 + 12.5x + -4x2 + -2.5x3 + x4 = 0

The solution to this equation could not be determined.

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