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

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


Simplifying
(X2 + -1x + 2)(x2 + x + -1) = 0

Reorder the terms:
(2 + X2 + -1x)(x2 + x + -1) = 0

Reorder the terms:
(2 + X2 + -1x)(-1 + x + x2) = 0

Multiply (2 + X2 + -1x) * (-1 + x + x2)
(2(-1 + x + x2) + X2(-1 + x + x2) + -1x * (-1 + x + x2)) = 0
((-1 * 2 + x * 2 + x2 * 2) + X2(-1 + x + x2) + -1x * (-1 + x + x2)) = 0
((-2 + 2x + 2x2) + X2(-1 + x + x2) + -1x * (-1 + x + x2)) = 0
(-2 + 2x + 2x2 + (-1 * X2 + x * X2 + x2 * X2) + -1x * (-1 + x + x2)) = 0
(-2 + 2x + 2x2 + (-1X2 + xX2 + x2X2) + -1x * (-1 + x + x2)) = 0
(-2 + 2x + 2x2 + -1X2 + xX2 + x2X2 + (-1 * -1x + x * -1x + x2 * -1x)) = 0
(-2 + 2x + 2x2 + -1X2 + xX2 + x2X2 + (1x + -1x2 + -1x3)) = 0

Reorder the terms:
(-2 + -1X2 + 2x + 1x + xX2 + 2x2 + -1x2 + x2X2 + -1x3) = 0

Combine like terms: 2x + 1x = 3x
(-2 + -1X2 + 3x + xX2 + 2x2 + -1x2 + x2X2 + -1x3) = 0

Combine like terms: 2x2 + -1x2 = 1x2
(-2 + -1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3) = 0

Solving
-2 + -1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3 = 0

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + -1X2 + 3x + xX2 + 1x2 + x2X2 + 2 + -1x3 = 0 + 2

Reorder the terms:
-2 + 2 + -1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3 = 0 + 2
-1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3 = 0 + 2

Combine like terms: 0 + 2 = 2
-1X2 + 3x + xX2 + 1x2 + x2X2 + -1x3 = 2

Add '-3x' to each side of the equation.
-1X2 + 3x + xX2 + 1x2 + x2X2 + -3x + -1x3 = 2 + -3x

Reorder the terms:
-1X2 + 3x + -3x + xX2 + 1x2 + x2X2 + -1x3 = 2 + -3x

Combine like terms: 3x + -3x = 0
-1X2 + 0 + xX2 + 1x2 + x2X2 + -1x3 = 2 + -3x
-1X2 + xX2 + 1x2 + x2X2 + -1x3 = 2 + -3x

Add '-1x2' to each side of the equation.
-1X2 + xX2 + 1x2 + x2X2 + -1x2 + -1x3 = 2 + -3x + -1x2

Reorder the terms:
-1X2 + xX2 + 1x2 + -1x2 + x2X2 + -1x3 = 2 + -3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-1X2 + xX2 + 0 + x2X2 + -1x3 = 2 + -3x + -1x2
-1X2 + xX2 + x2X2 + -1x3 = 2 + -3x + -1x2

Add 'x3' to each side of the equation.
-1X2 + xX2 + x2X2 + -1x3 + x3 = 2 + -3x + -1x2 + x3

Combine like terms: -1x3 + x3 = 0
-1X2 + xX2 + x2X2 + 0 = 2 + -3x + -1x2 + x3
-1X2 + xX2 + x2X2 = 2 + -3x + -1x2 + x3

Reorder the terms:
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 2 + -3x + -1x2 + x3 + -2 + 3x + x2 + -1x3

Reorder the terms:
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 2 + -2 + -3x + 3x + -1x2 + x2 + x3 + -1x3

Combine like terms: 2 + -2 = 0
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 0 + -3x + 3x + -1x2 + x2 + x3 + -1x3
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = -3x + 3x + -1x2 + x2 + x3 + -1x3

Combine like terms: -3x + 3x = 0
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 0 + -1x2 + x2 + x3 + -1x3
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = -1x2 + x2 + x3 + -1x3

Combine like terms: -1x2 + x2 = 0
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 0 + x3 + -1x3
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2 + -1X2 + 3x + xX2 + x2 + x2X2 + -1x3 = 0

The solution to this equation could not be determined.

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