c(c-4)3(c-4)=0

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Solution for c(c-4)3(c-4)=0 equation: 


Simplifying
c(c + -4) * 3(c + -4) = 0

Reorder the terms:
c(-4 + c) * 3(c + -4) = 0

Reorder the terms:
c(-4 + c) * 3(-4 + c) = 0

Reorder the terms for easier multiplication:
3c(-4 + c)(-4 + c) = 0

Multiply (-4 + c) * (-4 + c)
3c(-4(-4 + c) + c(-4 + c)) = 0
3c((-4 * -4 + c * -4) + c(-4 + c)) = 0
3c((16 + -4c) + c(-4 + c)) = 0
3c(16 + -4c + (-4 * c + c * c)) = 0
3c(16 + -4c + (-4c + c2)) = 0

Combine like terms: -4c + -4c = -8c
3c(16 + -8c + c2) = 0
(16 * 3c + -8c * 3c + c2 * 3c) = 0
(48c + -24c2 + 3c3) = 0

Solving
48c + -24c2 + 3c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c'.
3c(16 + -8c + c2) = 0

Factor a trinomial.
3c((4 + -1c)(4 + -1c)) = 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 '(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

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, 4, 4}

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