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

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


Simplifying
x = -1x4 + 4x3 + -2x2 + x + 1

Reorder the terms:
x = 1 + x + -2x2 + 4x3 + -1x4

Add '-1x' to each side of the equation.
x + -1x = 1 + x + -2x2 + 4x3 + -1x + -1x4

Combine like terms: x + -1x = 0
0 = 1 + x + -2x2 + 4x3 + -1x + -1x4

Reorder the terms:
0 = 1 + x + -1x + -2x2 + 4x3 + -1x4

Combine like terms: x + -1x = 0
0 = 1 + 0 + -2x2 + 4x3 + -1x4
0 = 1 + -2x2 + 4x3 + -1x4

Solving
0 = 1 + -2x2 + 4x3 + -1x4

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 2x2 + -4x3 + x4 = 1 + -2x2 + 4x3 + -1x4 + -1 + 2x2 + -4x3 + x4

Reorder the terms:
-1 + 2x2 + -4x3 + x4 = 1 + -1 + -2x2 + 2x2 + 4x3 + -4x3 + -1x4 + x4

Combine like terms: 1 + -1 = 0
-1 + 2x2 + -4x3 + x4 = 0 + -2x2 + 2x2 + 4x3 + -4x3 + -1x4 + x4
-1 + 2x2 + -4x3 + x4 = -2x2 + 2x2 + 4x3 + -4x3 + -1x4 + x4

Combine like terms: -2x2 + 2x2 = 0
-1 + 2x2 + -4x3 + x4 = 0 + 4x3 + -4x3 + -1x4 + x4
-1 + 2x2 + -4x3 + x4 = 4x3 + -4x3 + -1x4 + x4

Combine like terms: 4x3 + -4x3 = 0
-1 + 2x2 + -4x3 + x4 = 0 + -1x4 + x4
-1 + 2x2 + -4x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-1 + 2x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

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