3c^3=3c(c+2)

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Solution for 3c^3=3c(c+2) equation: 


Simplifying
3c3 = 3c(c + 2)

Reorder the terms:
3c3 = 3c(2 + c)
3c3 = (2 * 3c + c * 3c)
3c3 = (6c + 3c2)

Solving
3c3 = 6c + 3c2

Solving for variable 'c'.

Reorder the terms:
-6c + -3c2 + 3c3 = 6c + 3c2 + -6c + -3c2

Reorder the terms:
-6c + -3c2 + 3c3 = 6c + -6c + 3c2 + -3c2

Combine like terms: 6c + -6c = 0
-6c + -3c2 + 3c3 = 0 + 3c2 + -3c2
-6c + -3c2 + 3c3 = 3c2 + -3c2

Combine like terms: 3c2 + -3c2 = 0
-6c + -3c2 + 3c3 = 0

Factor out the Greatest Common Factor (GCF), '3c'.
3c(-2 + -1c + c2) = 0

Factor a trinomial.
3c((-1 + -1c)(2 + -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 '(-1 + -1c)' equal to zero and attempt to solve:

Simplifying
-1 + -1c = 0

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

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

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

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

Simplifying
c = -1

Subproblem 3
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {0, -1, 2}

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