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

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


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

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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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