(-6-f)(6+f)=

Solution for (-6-f)(6+f)= equation:

Simplifying
(-6 + -1f)(6 + f) = 0

Multiply (-6 + -1f) * (6 + f)
(-6(6 + f) + -1f * (6 + f)) = 0
((6 * -6 + f * -6) + -1f * (6 + f)) = 0
((-36 + -6f) + -1f * (6 + f)) = 0
(-36 + -6f + (6 * -1f + f * -1f)) = 0
(-36 + -6f + (-6f + -1f2)) = 0

Combine like terms: -6f + -6f = -12f
(-36 + -12f + -1f2) = 0

Solving
-36 + -12f + -1f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 12f + f2) = 0

Factor a trinomial.
-1((6 + f)(6 + f)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + f)' equal to zero and attempt to solve:

Simplifying
6 + f = 0

Solving
6 + f = 0

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

Add '-6' to each side of the equation.
6 + -6 + f = 0 + -6

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

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

Simplifying
f = -6
Subproblem 2
Set the factor '(6 + f)' equal to zero and attempt to solve:

Simplifying
6 + f = 0

Solving
6 + f = 0

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

Add '-6' to each side of the equation.
6 + -6 + f = 0 + -6

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

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

Simplifying
f = -6
Solution
f = {-6, -6}