2c^5-7c^3-4c=

Solution for 2c^5-7c^3-4c= equation:

Simplifying
2c5 + -7c3 + -4c = 0

Reorder the terms:
-4c + -7c3 + 2c5 = 0

Solving
-4c + -7c3 + 2c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-4 + -7c2 + 2c4) = 0

Factor a trinomial.
c((-1 + -2c2)(4 + -1c2)) = 0

Factor a difference between two squares.
c((-1 + -2c2)((2 + c)(2 + -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 + -2c2)' equal to zero and attempt to solve:

Simplifying
-1 + -2c2 = 0

Solving
-1 + -2c2 = 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 + -2c2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2c2 = 0 + 1
-2c2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2c2 = 1

Divide each side by '-2'.
c2 = -0.5

Simplifying
c2 = -0.5

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 '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

Add '-2' to each side of the equation.
2 + -2 + c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

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

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {0, -2, 2}