6f^2=-8f

Solution for 6f^2=-8f equation:

Simplifying
6f2 = -8f

Solving
6f2 = -8f

Solving for variable 'f'.

Reorder the terms:
8f + 6f2 = -8f + 8f

Combine like terms: -8f + 8f = 0
8f + 6f2 = 0

Factor out the Greatest Common Factor (GCF), '2f'.
2f(4 + 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 '(4 + 3f)' equal to zero and attempt to solve:

Simplifying
4 + 3f = 0

Solving
4 + 3f = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3f = 0 + -4
3f = 0 + -4

Combine like terms: 0 + -4 = -4
3f = -4

Divide each side by '3'.
f = -1.333333333

Simplifying
f = -1.333333333
Solution
f = {0, -1.333333333}