5c^3+30c-35c=0

Solution for 5c^3+30c-35c=0 equation:

Simplifying
5c3 + 30c + -35c = 0

Reorder the terms:
30c + -35c + 5c3 = 0

Combine like terms: 30c + -35c = -5c
-5c + 5c3 = 0

Solving
-5c + 5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-1 + c2) = 0

Factor a difference between two squares.
5c((1 + c)(-1 + c)) = 0

Ignore the factor 5.
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 + 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 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
Solution
c = {0, -1, 1}