(-(x^4))+x=0

Solution for (-(x^4))+x=0 equation:

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

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

Solving
x + (-1x4) = 0

Solving for variable 'x'.

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

Simplifying
1 + (-1x3) = 0

Solving
1 + (-1x3) = 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 + (-1x3) = 0 + -1

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

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

Divide each side by '-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}