-2f^2-8f-6=0

Solution for -2f^2-8f-6=0 equation:

Simplifying
-2f2 + -8f + -6 = 0

Reorder the terms:
-6 + -8f + -2f2 = 0

Solving
-6 + -8f + -2f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(3 + 4f + f2) = 0

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

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

Simplifying
3 + f = 0

Solving
3 + f = 0

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

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

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

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

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

Simplifying
1 + f = 0

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

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

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

Simplifying
f = -1
Solution
f = {-3, -1}