27v^3-3v=

Solution for 27v^3-3v= equation:

Simplifying
27v3 + -3v = 0

Reorder the terms:
-3v + 27v3 = 0

Solving
-3v + 27v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(-1 + 9v2) = 0

Factor a difference between two squares.
3v((1 + 3v)(-1 + 3v)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(1 + 3v)' equal to zero and attempt to solve:

Simplifying
1 + 3v = 0

Solving
1 + 3v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3v = 0 + -1

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

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

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

Simplifying
v = -0.3333333333
Subproblem 3
Set the factor '(-1 + 3v)' equal to zero and attempt to solve:

Simplifying
-1 + 3v = 0

Solving
-1 + 3v = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3v = 0 + 1

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

Combine like terms: 0 + 1 = 1
3v = 1

Divide each side by '3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {0, -0.3333333333, 0.3333333333}