6f^2+f=0

Solution for 6f^2+f=0 equation:

Simplifying
6f2 + f = 0

Reorder the terms:
f + 6f2 = 0

Solving
f + 6f2 = 0

Solving for variable 'f'.

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

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 + 6f)' equal to zero and attempt to solve:

Simplifying
1 + 6f = 0

Solving
1 + 6f = 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 + 6f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6f = 0 + -1
6f = 0 + -1

Combine like terms: 0 + -1 = -1
6f = -1

Divide each side by '6'.
f = -0.1666666667

Simplifying
f = -0.1666666667
Solution
f = {0, -0.1666666667}