2x^4+17x^2-4x+1=x+1

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Solution for 2x^4+17x^2-4x+1=x+1 equation: 


Simplifying
2x4 + 17x2 + -4x + 1 = x + 1

Reorder the terms:
1 + -4x + 17x2 + 2x4 = x + 1

Reorder the terms:
1 + -4x + 17x2 + 2x4 = 1 + x

Add '-1' to each side of the equation.
1 + -4x + 17x2 + -1 + 2x4 = 1 + -1 + x

Reorder the terms:
1 + -1 + -4x + 17x2 + 2x4 = 1 + -1 + x

Combine like terms: 1 + -1 = 0
0 + -4x + 17x2 + 2x4 = 1 + -1 + x
-4x + 17x2 + 2x4 = 1 + -1 + x

Combine like terms: 1 + -1 = 0
-4x + 17x2 + 2x4 = 0 + x
-4x + 17x2 + 2x4 = x

Solving
-4x + 17x2 + 2x4 = x

Solving for variable 'x'.

Reorder the terms:
-4x + -1x + 17x2 + 2x4 = x + -1x

Combine like terms: -4x + -1x = -5x
-5x + 17x2 + 2x4 = x + -1x

Combine like terms: x + -1x = 0
-5x + 17x2 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 17x + 2x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5 + 17x + 2x3)' equal to zero and attempt to solve:

Simplifying
-5 + 17x + 2x3 = 0

Solving
-5 + 17x + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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