6c-10c^3=

Solution for 6c-10c^3= equation:

Simplifying
6c + -10c3 = 0

Solving
6c + -10c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(3 + -5c2) = 0

Ignore the factor 2.
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 '(3 + -5c2)' equal to zero and attempt to solve:

Simplifying
3 + -5c2 = 0

Solving
3 + -5c2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5c2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5c2 = 0 + -3
-5c2 = 0 + -3

Combine like terms: 0 + -3 = -3
-5c2 = -3

Divide each side by '-5'.
c2 = 0.6

Simplifying
c2 = 0.6

Take the square root of each side:
c = {-0.774596669, 0.774596669}
Solution
c = {0, -0.774596669, 0.774596669}