3c(7c-3)(3c-1)=0

Solution for 3c(7c-3)(3c-1)=0 equation:

Simplifying
3c(7c + -3)(3c + -1) = 0

Reorder the terms:
3c(-3 + 7c)(3c + -1) = 0

Reorder the terms:
3c(-3 + 7c)(-1 + 3c) = 0

Multiply (-3 + 7c) * (-1 + 3c)
3c(-3(-1 + 3c) + 7c * (-1 + 3c)) = 0
3c((-1 * -3 + 3c * -3) + 7c * (-1 + 3c)) = 0
3c((3 + -9c) + 7c * (-1 + 3c)) = 0
3c(3 + -9c + (-1 * 7c + 3c * 7c)) = 0
3c(3 + -9c + (-7c + 21c2)) = 0

Combine like terms: -9c + -7c = -16c
3c(3 + -16c + 21c2) = 0
(3 * 3c + -16c * 3c + 21c2 * 3c) = 0
(9c + -48c2 + 63c3) = 0

Solving
9c + -48c2 + 63c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c'.
3c(3 + -16c + 21c2) = 0

Factor a trinomial.
3c((1 + -3c)(3 + -7c)) = 0

Ignore the factor 3.
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 + -3c)' equal to zero and attempt to solve:

Simplifying
1 + -3c = 0

Solving
1 + -3c = 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 + -3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 0 + -1
-3c = 0 + -1

Combine like terms: 0 + -1 = -1
-3c = -1

Divide each side by '-3'.
c = 0.3333333333

Simplifying
c = 0.3333333333
Subproblem 3
Set the factor '(3 + -7c)' equal to zero and attempt to solve:

Simplifying
3 + -7c = 0

Solving
3 + -7c = 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 + -7c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7c = 0 + -3
-7c = 0 + -3

Combine like terms: 0 + -3 = -3
-7c = -3

Divide each side by '-7'.
c = 0.4285714286

Simplifying
c = 0.4285714286
Solution
c = {0, 0.3333333333, 0.4285714286}