6c(11c+5)(c-4)=0

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Solution for 6c(11c+5)(c-4)=0 equation: 


Simplifying
6c(11c + 5)(c + -4) = 0

Reorder the terms:
6c(5 + 11c)(c + -4) = 0

Reorder the terms:
6c(5 + 11c)(-4 + c) = 0

Multiply (5 + 11c) * (-4 + c)
6c(5(-4 + c) + 11c * (-4 + c)) = 0
6c((-4 * 5 + c * 5) + 11c * (-4 + c)) = 0
6c((-20 + 5c) + 11c * (-4 + c)) = 0
6c(-20 + 5c + (-4 * 11c + c * 11c)) = 0
6c(-20 + 5c + (-44c + 11c2)) = 0

Combine like terms: 5c + -44c = -39c
6c(-20 + -39c + 11c2) = 0
(-20 * 6c + -39c * 6c + 11c2 * 6c) = 0
(-120c + -234c2 + 66c3) = 0

Solving
-120c + -234c2 + 66c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '6c'.
6c(-20 + -39c + 11c2) = 0

Factor a trinomial.
6c((-5 + -11c)(4 + -1c)) = 0

Ignore the factor 6.

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 '(-5 + -11c)' equal to zero and attempt to solve:

Simplifying
-5 + -11c = 0

Solving
-5 + -11c = 0

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

Add '5' to each side of the equation.
-5 + 5 + -11c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11c = 0 + 5
-11c = 0 + 5

Combine like terms: 0 + 5 = 5
-11c = 5

Divide each side by '-11'.
c = -0.4545454545

Simplifying
c = -0.4545454545

Subproblem 3
Set the factor '(4 + -1c)' equal to zero and attempt to solve:

Simplifying
4 + -1c = 0

Solving
4 + -1c = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1c = 0 + -4
-1c = 0 + -4

Combine like terms: 0 + -4 = -4
-1c = -4

Divide each side by '-1'.
c = 4

Simplifying
c = 4
Solution
c = {0, -0.4545454545, 4}

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