-(3f+1)(3f+1)=

Solution for -(3f+1)(3f+1)= equation:

Simplifying
-1(3f + 1)(3f + 1) = 0

Reorder the terms:
-1(1 + 3f)(3f + 1) = 0

Reorder the terms:
-1(1 + 3f)(1 + 3f) = 0

Multiply (1 + 3f) * (1 + 3f)
-1(1(1 + 3f) + 3f * (1 + 3f)) = 0
-1((1 * 1 + 3f * 1) + 3f * (1 + 3f)) = 0
-1((1 + 3f) + 3f * (1 + 3f)) = 0
-1(1 + 3f + (1 * 3f + 3f * 3f)) = 0
-1(1 + 3f + (3f + 9f2)) = 0

Combine like terms: 3f + 3f = 6f
-1(1 + 6f + 9f2) = 0
(1 * -1 + 6f * -1 + 9f2 * -1) = 0
(-1 + -6f + -9f2) = 0

Solving
-1 + -6f + -9f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 6f + 9f2) = 0

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

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

Simplifying
1 + 3f = 0

Solving
1 + 3f = 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 + 3f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3f = 0 + -1
3f = 0 + -1

Combine like terms: 0 + -1 = -1
3f = -1

Divide each side by '3'.
f = -0.3333333333

Simplifying
f = -0.3333333333
Subproblem 2
Set the factor '(1 + 3f)' equal to zero and attempt to solve:

Simplifying
1 + 3f = 0

Solving
1 + 3f = 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 + 3f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3f = 0 + -1
3f = 0 + -1

Combine like terms: 0 + -1 = -1
3f = -1

Divide each side by '3'.
f = -0.3333333333

Simplifying
f = -0.3333333333
Solution
f = {-0.3333333333, -0.3333333333}