(X^3+3x^2-1)(x^3-2x+4)=

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Solution for (X^3+3x^2-1)(x^3-2x+4)= equation: 


Simplifying
(X3 + 3x2 + -1)(x3 + -2x + 4) = 0

Reorder the terms:
(-1 + X3 + 3x2)(x3 + -2x + 4) = 0

Reorder the terms:
(-1 + X3 + 3x2)(4 + -2x + x3) = 0

Multiply (-1 + X3 + 3x2) * (4 + -2x + x3)
(-1(4 + -2x + x3) + X3(4 + -2x + x3) + 3x2 * (4 + -2x + x3)) = 0
((4 * -1 + -2x * -1 + x3 * -1) + X3(4 + -2x + x3) + 3x2 * (4 + -2x + x3)) = 0
((-4 + 2x + -1x3) + X3(4 + -2x + x3) + 3x2 * (4 + -2x + x3)) = 0
(-4 + 2x + -1x3 + (4 * X3 + -2x * X3 + x3 * X3) + 3x2 * (4 + -2x + x3)) = 0
(-4 + 2x + -1x3 + (4X3 + -2xX3 + x3X3) + 3x2 * (4 + -2x + x3)) = 0
(-4 + 2x + -1x3 + 4X3 + -2xX3 + x3X3 + (4 * 3x2 + -2x * 3x2 + x3 * 3x2)) = 0
(-4 + 2x + -1x3 + 4X3 + -2xX3 + x3X3 + (12x2 + -6x3 + 3x5)) = 0

Reorder the terms:
(-4 + 4X3 + 2x + -2xX3 + 12x2 + -1x3 + -6x3 + x3X3 + 3x5) = 0

Combine like terms: -1x3 + -6x3 = -7x3
(-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5) = 0

Solving
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 4 + 3x5 = 0 + 4

Reorder the terms:
-4 + 4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + 4
4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + 4

Combine like terms: 0 + 4 = 4
4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4

Add '-2x' to each side of the equation.
4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + -2x + 3x5 = 4 + -2x

Reorder the terms:
4X3 + 2x + -2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4 + -2x

Combine like terms: 2x + -2x = 0
4X3 + 0 + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4 + -2x
4X3 + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4 + -2x

Add '-12x2' to each side of the equation.
4X3 + -2xX3 + 12x2 + -7x3 + x3X3 + -12x2 + 3x5 = 4 + -2x + -12x2

Reorder the terms:
4X3 + -2xX3 + 12x2 + -12x2 + -7x3 + x3X3 + 3x5 = 4 + -2x + -12x2

Combine like terms: 12x2 + -12x2 = 0
4X3 + -2xX3 + 0 + -7x3 + x3X3 + 3x5 = 4 + -2x + -12x2
4X3 + -2xX3 + -7x3 + x3X3 + 3x5 = 4 + -2x + -12x2

Add '7x3' to each side of the equation.
4X3 + -2xX3 + -7x3 + x3X3 + 7x3 + 3x5 = 4 + -2x + -12x2 + 7x3

Reorder the terms:
4X3 + -2xX3 + -7x3 + 7x3 + x3X3 + 3x5 = 4 + -2x + -12x2 + 7x3

Combine like terms: -7x3 + 7x3 = 0
4X3 + -2xX3 + 0 + x3X3 + 3x5 = 4 + -2x + -12x2 + 7x3
4X3 + -2xX3 + x3X3 + 3x5 = 4 + -2x + -12x2 + 7x3

Add '-3x5' to each side of the equation.
4X3 + -2xX3 + x3X3 + 3x5 + -3x5 = 4 + -2x + -12x2 + 7x3 + -3x5

Combine like terms: 3x5 + -3x5 = 0
4X3 + -2xX3 + x3X3 + 0 = 4 + -2x + -12x2 + 7x3 + -3x5
4X3 + -2xX3 + x3X3 = 4 + -2x + -12x2 + 7x3 + -3x5

Reorder the terms:
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4 + -2x + -12x2 + 7x3 + -3x5 + -4 + 2x + 12x2 + -7x3 + 3x5

Reorder the terms:
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 4 + -4 + -2x + 2x + -12x2 + 12x2 + 7x3 + -7x3 + -3x5 + 3x5

Combine like terms: 4 + -4 = 0
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + -2x + 2x + -12x2 + 12x2 + 7x3 + -7x3 + -3x5 + 3x5
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = -2x + 2x + -12x2 + 12x2 + 7x3 + -7x3 + -3x5 + 3x5

Combine like terms: -2x + 2x = 0
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + -12x2 + 12x2 + 7x3 + -7x3 + -3x5 + 3x5
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = -12x2 + 12x2 + 7x3 + -7x3 + -3x5 + 3x5

Combine like terms: -12x2 + 12x2 = 0
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + 7x3 + -7x3 + -3x5 + 3x5
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 7x3 + -7x3 + -3x5 + 3x5

Combine like terms: 7x3 + -7x3 = 0
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0 + -3x5 + 3x5
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = -3x5 + 3x5

Combine like terms: -3x5 + 3x5 = 0
-4 + 4X3 + 2x + -2xX3 + 12x2 + -7x3 + x3X3 + 3x5 = 0

The solution to this equation could not be determined.

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