12f^3-2f^2-2f=2f

Solution for 12f^3-2f^2-2f=2f equation:

Simplifying
12f3 + -2f2 + -2f = 2f

Reorder the terms:
-2f + -2f2 + 12f3 = 2f

Solving
-2f + -2f2 + 12f3 = 2f

Solving for variable 'f'.

Reorder the terms:
-2f + -2f + -2f2 + 12f3 = 2f + -2f

Combine like terms: -2f + -2f = -4f
-4f + -2f2 + 12f3 = 2f + -2f

Combine like terms: 2f + -2f = 0
-4f + -2f2 + 12f3 = 0

Factor out the Greatest Common Factor (GCF), '2f'.
2f(-2 + -1f + 6f2) = 0

Factor a trinomial.
2f((-1 + -2f)(2 + -3f)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

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

Simplifying
-1 + -2f = 0

Solving
-1 + -2f = 0

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

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

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

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

Divide each side by '-2'.
f = -0.5

Simplifying
f = -0.5
Subproblem 3
Set the factor '(2 + -3f)' equal to zero and attempt to solve:

Simplifying
2 + -3f = 0

Solving
2 + -3f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3f = 0 + -2
-3f = 0 + -2

Combine like terms: 0 + -2 = -2
-3f = -2

Divide each side by '-3'.
f = 0.6666666667

Simplifying
f = 0.6666666667
Solution
f = {0, -0.5, 0.6666666667}