2c^3+6c-80c=0

Solution for 2c^3+6c-80c=0 equation:

Simplifying
2c3 + 6c + -80c = 0

Reorder the terms:
6c + -80c + 2c3 = 0

Combine like terms: 6c + -80c = -74c
-74c + 2c3 = 0

Solving
-74c + 2c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(-37 + c2) = 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 '(-37 + c2)' equal to zero and attempt to solve:

Simplifying
-37 + c2 = 0

Solving
-37 + c2 = 0

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

Add '37' to each side of the equation.
-37 + 37 + c2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + c2 = 0 + 37
c2 = 0 + 37

Combine like terms: 0 + 37 = 37
c2 = 37

Simplifying
c2 = 37

Take the square root of each side:
c = {-6.08276253, 6.08276253}
Solution
c = {0, -6.08276253, 6.08276253}