(X^3+x^2-3)(x^3-2x+3)=5

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Solution for (X^3+x^2-3)(x^3-2x+3)=5 equation: 


Simplifying
(X3 + x2 + -3)(x3 + -2x + 3) = 5

Reorder the terms:
(-3 + X3 + x2)(x3 + -2x + 3) = 5

Reorder the terms:
(-3 + X3 + x2)(3 + -2x + x3) = 5

Multiply (-3 + X3 + x2) * (3 + -2x + x3)
(-3(3 + -2x + x3) + X3(3 + -2x + x3) + x2(3 + -2x + x3)) = 5
((3 * -3 + -2x * -3 + x3 * -3) + X3(3 + -2x + x3) + x2(3 + -2x + x3)) = 5
((-9 + 6x + -3x3) + X3(3 + -2x + x3) + x2(3 + -2x + x3)) = 5
(-9 + 6x + -3x3 + (3 * X3 + -2x * X3 + x3 * X3) + x2(3 + -2x + x3)) = 5
(-9 + 6x + -3x3 + (3X3 + -2xX3 + x3X3) + x2(3 + -2x + x3)) = 5
(-9 + 6x + -3x3 + 3X3 + -2xX3 + x3X3 + (3 * x2 + -2x * x2 + x3 * x2)) = 5
(-9 + 6x + -3x3 + 3X3 + -2xX3 + x3X3 + (3x2 + -2x3 + x5)) = 5

Reorder the terms:
(-9 + 3X3 + 6x + -2xX3 + 3x2 + -3x3 + -2x3 + x3X3 + x5) = 5

Combine like terms: -3x3 + -2x3 = -5x3
(-9 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5) = 5

Solving
-9 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 5

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + 9 + x5 = 5 + 9

Reorder the terms:
-9 + 9 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 5 + 9
3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 5 + 9

Combine like terms: 5 + 9 = 14
3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14

Add '-6x' to each side of the equation.
3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + -6x + x5 = 14 + -6x

Reorder the terms:
3X3 + 6x + -6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14 + -6x

Combine like terms: 6x + -6x = 0
3X3 + 0 + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14 + -6x
3X3 + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14 + -6x

Add '-3x2' to each side of the equation.
3X3 + -2xX3 + 3x2 + -5x3 + x3X3 + -3x2 + x5 = 14 + -6x + -3x2

Reorder the terms:
3X3 + -2xX3 + 3x2 + -3x2 + -5x3 + x3X3 + x5 = 14 + -6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
3X3 + -2xX3 + 0 + -5x3 + x3X3 + x5 = 14 + -6x + -3x2
3X3 + -2xX3 + -5x3 + x3X3 + x5 = 14 + -6x + -3x2

Add '5x3' to each side of the equation.
3X3 + -2xX3 + -5x3 + x3X3 + 5x3 + x5 = 14 + -6x + -3x2 + 5x3

Reorder the terms:
3X3 + -2xX3 + -5x3 + 5x3 + x3X3 + x5 = 14 + -6x + -3x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
3X3 + -2xX3 + 0 + x3X3 + x5 = 14 + -6x + -3x2 + 5x3
3X3 + -2xX3 + x3X3 + x5 = 14 + -6x + -3x2 + 5x3

Add '-1x5' to each side of the equation.
3X3 + -2xX3 + x3X3 + x5 + -1x5 = 14 + -6x + -3x2 + 5x3 + -1x5

Combine like terms: x5 + -1x5 = 0
3X3 + -2xX3 + x3X3 + 0 = 14 + -6x + -3x2 + 5x3 + -1x5
3X3 + -2xX3 + x3X3 = 14 + -6x + -3x2 + 5x3 + -1x5

Reorder the terms:
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14 + -6x + -3x2 + 5x3 + -1x5 + -14 + 6x + 3x2 + -5x3 + x5

Reorder the terms:
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 14 + -14 + -6x + 6x + -3x2 + 3x2 + 5x3 + -5x3 + -1x5 + x5

Combine like terms: 14 + -14 = 0
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 0 + -6x + 6x + -3x2 + 3x2 + 5x3 + -5x3 + -1x5 + x5
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = -6x + 6x + -3x2 + 3x2 + 5x3 + -5x3 + -1x5 + x5

Combine like terms: -6x + 6x = 0
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 0 + -3x2 + 3x2 + 5x3 + -5x3 + -1x5 + x5
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = -3x2 + 3x2 + 5x3 + -5x3 + -1x5 + x5

Combine like terms: -3x2 + 3x2 = 0
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 0 + 5x3 + -5x3 + -1x5 + x5
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 5x3 + -5x3 + -1x5 + x5

Combine like terms: 5x3 + -5x3 = 0
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 0 + -1x5 + x5
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
-14 + 3X3 + 6x + -2xX3 + 3x2 + -5x3 + x3X3 + x5 = 0

The solution to this equation could not be determined.

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