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

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


Simplifying
(X4 + x3) + -1x4 + -1x2 = 2

Remove parenthesis around (X4 + x3)
X4 + x3 + -1x4 + -1x2 = 2

Reorder the terms:
X4 + -1x2 + x3 + -1x4 = 2

Solving
X4 + -1x2 + x3 + -1x4 = 2

Solving for variable 'X'.

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

Add 'x2' to each side of the equation.
X4 + -1x2 + x3 + x2 + -1x4 = 2 + x2

Reorder the terms:
X4 + -1x2 + x2 + x3 + -1x4 = 2 + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + x3 + -1x4 = 2 + x2
X4 + x3 + -1x4 = 2 + x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 + -1x4 = 2 + x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 + -1x4 = 2 + x2 + -1x3
X4 + -1x4 = 2 + x2 + -1x3

Add 'x4' to each side of the equation.
X4 + -1x4 + x4 = 2 + x2 + -1x3 + x4

Combine like terms: -1x4 + x4 = 0
X4 + 0 = 2 + x2 + -1x3 + x4
X4 = 2 + x2 + -1x3 + x4

Simplifying
X4 = 2 + x2 + -1x3 + x4

Reorder the terms:
-2 + X4 + -1x2 + x3 + -1x4 = 2 + x2 + -1x3 + x4 + -2 + -1x2 + x3 + -1x4

Reorder the terms:
-2 + X4 + -1x2 + x3 + -1x4 = 2 + -2 + x2 + -1x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: 2 + -2 = 0
-2 + X4 + -1x2 + x3 + -1x4 = 0 + x2 + -1x2 + -1x3 + x3 + x4 + -1x4
-2 + X4 + -1x2 + x3 + -1x4 = x2 + -1x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: x2 + -1x2 = 0
-2 + X4 + -1x2 + x3 + -1x4 = 0 + -1x3 + x3 + x4 + -1x4
-2 + X4 + -1x2 + x3 + -1x4 = -1x3 + x3 + x4 + -1x4

Combine like terms: -1x3 + x3 = 0
-2 + X4 + -1x2 + x3 + -1x4 = 0 + x4 + -1x4
-2 + X4 + -1x2 + x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-2 + X4 + -1x2 + x3 + -1x4 = 0

The solution to this equation could not be determined.

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