(x^4-1)+(x+1)=

Solution for (x^4-1)+(x+1)= equation:

Simplifying
(x4 + -1) + (x + 1) = 0

Reorder the terms:
(-1 + x4) + (x + 1) = 0

Remove parenthesis around (-1 + x4)
-1 + x4 + (x + 1) = 0

Reorder the terms:
-1 + x4 + (1 + x) = 0

Remove parenthesis around (1 + x)
-1 + x4 + 1 + x = 0

Reorder the terms:
-1 + 1 + x + x4 = 0

Combine like terms: -1 + 1 = 0
0 + x + x4 = 0
x + x4 = 0

Solving
x + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + x3) = 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 '(1 + x3)' equal to zero and attempt to solve:

Simplifying
1 + x3 = 0

Solving
1 + x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x3 = 0 + -1
x3 = 0 + -1

Combine like terms: 0 + -1 = -1
x3 = -1

Simplifying
x3 = -1

The solution to this equation could not be determined.

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