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

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


Simplifying
(X2 + -1)(X + 1) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
(-1 + X2)(X + 1) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
(-1 + X2)(1 + X) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)

Multiply (-1 + X2) * (1 + X)
(-1(1 + X) + X2(1 + X)) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)
((1 * -1 + X * -1) + X2(1 + X)) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)
((-1 + -1X) + X2(1 + X)) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)
(-1 + -1X + (1 * X2 + X * X2)) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)
(-1 + -1X + (1X2 + X3)) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)
(-1 + -1X + 1X2 + X3) + 2(X + -1)(X2 + -1) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
-1 + -1X + 1X2 + X3 + 2(-1 + X)(X2 + -1) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
-1 + -1X + 1X2 + X3 + 2(-1 + X)(-1 + X2) = (X + -2)(X + -1)(x + 1)

Multiply (-1 + X) * (-1 + X2)
-1 + -1X + 1X2 + X3 + 2(-1(-1 + X2) + X(-1 + X2)) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + 2((-1 * -1 + X2 * -1) + X(-1 + X2)) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + 2((1 + -1X2) + X(-1 + X2)) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + 2(1 + -1X2 + (-1 * X + X2 * X)) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + 2(1 + -1X2 + (-1X + X3)) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
-1 + -1X + 1X2 + X3 + 2(1 + -1X + -1X2 + X3) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + 2(1 + -1X + -1X2 + X3) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + (1 * 2 + -1X * 2 + -1X2 * 2 + X3 * 2) = (X + -2)(X + -1)(x + 1)
-1 + -1X + 1X2 + X3 + (2 + -2X + -2X2 + 2X3) = (X + -2)(X + -1)(x + 1)

Reorder the terms:
-1 + 2 + -1X + -2X + 1X2 + -2X2 + X3 + 2X3 = (X + -2)(X + -1)(x + 1)

Combine like terms: -1 + 2 = 1
1 + -1X + -2X + 1X2 + -2X2 + X3 + 2X3 = (X + -2)(X + -1)(x + 1)

Combine like terms: -1X + -2X = -3X
1 + -3X + 1X2 + -2X2 + X3 + 2X3 = (X + -2)(X + -1)(x + 1)

Combine like terms: 1X2 + -2X2 = -1X2
1 + -3X + -1X2 + X3 + 2X3 = (X + -2)(X + -1)(x + 1)

Combine like terms: X3 + 2X3 = 3X3
1 + -3X + -1X2 + 3X3 = (X + -2)(X + -1)(x + 1)

Reorder the terms:
1 + -3X + -1X2 + 3X3 = (-2 + X)(X + -1)(x + 1)

Reorder the terms:
1 + -3X + -1X2 + 3X3 = (-2 + X)(-1 + X)(x + 1)

Reorder the terms:
1 + -3X + -1X2 + 3X3 = (-2 + X)(-1 + X)(1 + x)

Multiply (-2 + X) * (-1 + X)
1 + -3X + -1X2 + 3X3 = (-2(-1 + X) + X(-1 + X))(1 + x)
1 + -3X + -1X2 + 3X3 = ((-1 * -2 + X * -2) + X(-1 + X))(1 + x)
1 + -3X + -1X2 + 3X3 = ((2 + -2X) + X(-1 + X))(1 + x)
1 + -3X + -1X2 + 3X3 = (2 + -2X + (-1 * X + X * X))(1 + x)
1 + -3X + -1X2 + 3X3 = (2 + -2X + (-1X + X2))(1 + x)

Combine like terms: -2X + -1X = -3X
1 + -3X + -1X2 + 3X3 = (2 + -3X + X2)(1 + x)

Multiply (2 + -3X + X2) * (1 + x)
1 + -3X + -1X2 + 3X3 = (2(1 + x) + -3X * (1 + x) + X2(1 + x))
1 + -3X + -1X2 + 3X3 = ((1 * 2 + x * 2) + -3X * (1 + x) + X2(1 + x))
1 + -3X + -1X2 + 3X3 = ((2 + 2x) + -3X * (1 + x) + X2(1 + x))
1 + -3X + -1X2 + 3X3 = (2 + 2x + (1 * -3X + x * -3X) + X2(1 + x))
1 + -3X + -1X2 + 3X3 = (2 + 2x + (-3X + -3xX) + X2(1 + x))
1 + -3X + -1X2 + 3X3 = (2 + 2x + -3X + -3xX + (1 * X2 + x * X2))
1 + -3X + -1X2 + 3X3 = (2 + 2x + -3X + -3xX + (1X2 + xX2))

Reorder the terms:
1 + -3X + -1X2 + 3X3 = (2 + -3X + 1X2 + 2x + -3xX + xX2)
1 + -3X + -1X2 + 3X3 = (2 + -3X + 1X2 + 2x + -3xX + xX2)

Add '3X' to each side of the equation.
1 + -3X + -1X2 + 3X + 3X3 = 2 + -3X + 1X2 + 2x + -3xX + 3X + xX2

Reorder the terms:
1 + -3X + 3X + -1X2 + 3X3 = 2 + -3X + 1X2 + 2x + -3xX + 3X + xX2

Combine like terms: -3X + 3X = 0
1 + 0 + -1X2 + 3X3 = 2 + -3X + 1X2 + 2x + -3xX + 3X + xX2
1 + -1X2 + 3X3 = 2 + -3X + 1X2 + 2x + -3xX + 3X + xX2

Reorder the terms:
1 + -1X2 + 3X3 = 2 + -3X + 3X + 1X2 + 2x + -3xX + xX2

Combine like terms: -3X + 3X = 0
1 + -1X2 + 3X3 = 2 + 0 + 1X2 + 2x + -3xX + xX2
1 + -1X2 + 3X3 = 2 + 1X2 + 2x + -3xX + xX2

Solving
1 + -1X2 + 3X3 = 2 + 1X2 + 2x + -3xX + xX2

Solving for variable 'X'.

Reorder the terms:
1 + -2 + -1X2 + -1X2 + 3X3 + -2x + 3xX + -1xX2 = 2 + 1X2 + 2x + -3xX + xX2 + -2 + -1X2 + -2x + 3xX + -1xX2

Combine like terms: 1 + -2 = -1
-1 + -1X2 + -1X2 + 3X3 + -2x + 3xX + -1xX2 = 2 + 1X2 + 2x + -3xX + xX2 + -2 + -1X2 + -2x + 3xX + -1xX2

Combine like terms: -1X2 + -1X2 = -2X2
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 2 + 1X2 + 2x + -3xX + xX2 + -2 + -1X2 + -2x + 3xX + -1xX2

Reorder the terms:
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 2 + -2 + 1X2 + -1X2 + 2x + -2x + -3xX + 3xX + xX2 + -1xX2

Combine like terms: 2 + -2 = 0
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 0 + 1X2 + -1X2 + 2x + -2x + -3xX + 3xX + xX2 + -1xX2
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 1X2 + -1X2 + 2x + -2x + -3xX + 3xX + xX2 + -1xX2

Combine like terms: 1X2 + -1X2 = 0
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 0 + 2x + -2x + -3xX + 3xX + xX2 + -1xX2
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 2x + -2x + -3xX + 3xX + xX2 + -1xX2

Combine like terms: 2x + -2x = 0
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 0 + -3xX + 3xX + xX2 + -1xX2
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = -3xX + 3xX + xX2 + -1xX2

Combine like terms: -3xX + 3xX = 0
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 0 + xX2 + -1xX2
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = xX2 + -1xX2

Combine like terms: xX2 + -1xX2 = 0
-1 + -2X2 + 3X3 + -2x + 3xX + -1xX2 = 0

The solution to this equation could not be determined.

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