=(X^3-x+2x^2+2)(x^2-2x+2)

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Solution for =(X^3-x+2x^2+2)(x^2-2x+2) equation: 


Simplifying
0 = (X3 + -1x + 2x2 + 2)(x2 + -2x + 2)

Reorder the terms:
0 = (2 + X3 + -1x + 2x2)(x2 + -2x + 2)

Reorder the terms:
0 = (2 + X3 + -1x + 2x2)(2 + -2x + x2)

Multiply (2 + X3 + -1x + 2x2) * (2 + -2x + x2)
0 = (2(2 + -2x + x2) + X3(2 + -2x + x2) + -1x * (2 + -2x + x2) + 2x2 * (2 + -2x + x2))
0 = ((2 * 2 + -2x * 2 + x2 * 2) + X3(2 + -2x + x2) + -1x * (2 + -2x + x2) + 2x2 * (2 + -2x + x2))
0 = ((4 + -4x + 2x2) + X3(2 + -2x + x2) + -1x * (2 + -2x + x2) + 2x2 * (2 + -2x + x2))
0 = (4 + -4x + 2x2 + (2 * X3 + -2x * X3 + x2 * X3) + -1x * (2 + -2x + x2) + 2x2 * (2 + -2x + x2))
0 = (4 + -4x + 2x2 + (2X3 + -2xX3 + x2X3) + -1x * (2 + -2x + x2) + 2x2 * (2 + -2x + x2))
0 = (4 + -4x + 2x2 + 2X3 + -2xX3 + x2X3 + (2 * -1x + -2x * -1x + x2 * -1x) + 2x2 * (2 + -2x + x2))
0 = (4 + -4x + 2x2 + 2X3 + -2xX3 + x2X3 + (-2x + 2x2 + -1x3) + 2x2 * (2 + -2x + x2))
0 = (4 + -4x + 2x2 + 2X3 + -2xX3 + x2X3 + -2x + 2x2 + -1x3 + (2 * 2x2 + -2x * 2x2 + x2 * 2x2))
0 = (4 + -4x + 2x2 + 2X3 + -2xX3 + x2X3 + -2x + 2x2 + -1x3 + (4x2 + -4x3 + 2x4))

Reorder the terms:
0 = (4 + 2X3 + -4x + -2x + -2xX3 + 2x2 + 2x2 + 4x2 + x2X3 + -1x3 + -4x3 + 2x4)

Combine like terms: -4x + -2x = -6x
0 = (4 + 2X3 + -6x + -2xX3 + 2x2 + 2x2 + 4x2 + x2X3 + -1x3 + -4x3 + 2x4)

Combine like terms: 2x2 + 2x2 = 4x2
0 = (4 + 2X3 + -6x + -2xX3 + 4x2 + 4x2 + x2X3 + -1x3 + -4x3 + 2x4)

Combine like terms: 4x2 + 4x2 = 8x2
0 = (4 + 2X3 + -6x + -2xX3 + 8x2 + x2X3 + -1x3 + -4x3 + 2x4)

Combine like terms: -1x3 + -4x3 = -5x3
0 = (4 + 2X3 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2x4)

Solving
0 = 4 + 2X3 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2x4

Solving for variable 'X'.

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

Add '-2X3' to each side of the equation.
0 + -2X3 = 4 + 2X3 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + -2X3 + 2x4
Remove the zero:
-2X3 = 4 + 2X3 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + -2X3 + 2x4

Reorder the terms:
-2X3 = 4 + 2X3 + -2X3 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2x4

Combine like terms: 2X3 + -2X3 = 0
-2X3 = 4 + 0 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2x4
-2X3 = 4 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2x4

Add '2xX3' to each side of the equation.
-2X3 + 2xX3 = 4 + -6x + -2xX3 + 8x2 + x2X3 + -5x3 + 2xX3 + 2x4

Reorder the terms:
-2X3 + 2xX3 = 4 + -6x + -2xX3 + 2xX3 + 8x2 + x2X3 + -5x3 + 2x4

Combine like terms: -2xX3 + 2xX3 = 0
-2X3 + 2xX3 = 4 + -6x + 0 + 8x2 + x2X3 + -5x3 + 2x4
-2X3 + 2xX3 = 4 + -6x + 8x2 + x2X3 + -5x3 + 2x4

Add '-1x2X3' to each side of the equation.
-2X3 + 2xX3 + -1x2X3 = 4 + -6x + 8x2 + x2X3 + -5x3 + -1x2X3 + 2x4

Reorder the terms:
-2X3 + 2xX3 + -1x2X3 = 4 + -6x + 8x2 + x2X3 + -1x2X3 + -5x3 + 2x4

Combine like terms: x2X3 + -1x2X3 = 0
-2X3 + 2xX3 + -1x2X3 = 4 + -6x + 8x2 + 0 + -5x3 + 2x4
-2X3 + 2xX3 + -1x2X3 = 4 + -6x + 8x2 + -5x3 + 2x4

Reorder the terms:
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 4 + -6x + 8x2 + -5x3 + 2x4 + -4 + 6x + -8x2 + 5x3 + -2x4

Reorder the terms:
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 4 + -4 + -6x + 6x + 8x2 + -8x2 + -5x3 + 5x3 + 2x4 + -2x4

Combine like terms: 4 + -4 = 0
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 0 + -6x + 6x + 8x2 + -8x2 + -5x3 + 5x3 + 2x4 + -2x4
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = -6x + 6x + 8x2 + -8x2 + -5x3 + 5x3 + 2x4 + -2x4

Combine like terms: -6x + 6x = 0
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 0 + 8x2 + -8x2 + -5x3 + 5x3 + 2x4 + -2x4
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 8x2 + -8x2 + -5x3 + 5x3 + 2x4 + -2x4

Combine like terms: 8x2 + -8x2 = 0
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 0 + -5x3 + 5x3 + 2x4 + -2x4
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = -5x3 + 5x3 + 2x4 + -2x4

Combine like terms: -5x3 + 5x3 = 0
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 0 + 2x4 + -2x4
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-4 + -2X3 + 6x + 2xX3 + -8x2 + -1x2X3 + 5x3 + -2x4 = 0

The solution to this equation could not be determined.

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