4c^5-3c^3-c=0

Solution for 4c^5-3c^3-c=0 equation:

Simplifying
4c5 + -3c3 + -1c = 0

Reorder the terms:
-1c + -3c3 + 4c5 = 0

Solving
-1c + -3c3 + 4c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1 + -3c2 + 4c4) = 0

Factor a trinomial.
c((-1 + -4c2)(1 + -1c2)) = 0

Factor a difference between two squares.
c((-1 + -4c2)((1 + c)(1 + -1c))) = 0

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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(-1 + -4c2)' equal to zero and attempt to solve:

Simplifying
-1 + -4c2 = 0

Solving
-1 + -4c2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -4c2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4c2 = 0 + 1
-4c2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4c2 = 1

Divide each side by '-4'.
c2 = -0.25

Simplifying
c2 = -0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + c)' equal to zero and attempt to solve:

Simplifying
1 + c = 0

Solving
1 + c = 0

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

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

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

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

Simplifying
c = -1
Subproblem 4
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {0, -1, 1}