(4f+4)(3f+-1)=

Solution for (4f+4)(3f+-1)= equation:

Simplifying
(4f + 4)(3f + -1) = 0

Reorder the terms:
(4 + 4f)(3f + -1) = 0

Reorder the terms:
(4 + 4f)(-1 + 3f) = 0

Multiply (4 + 4f) * (-1 + 3f)
(4(-1 + 3f) + 4f * (-1 + 3f)) = 0
((-1 * 4 + 3f * 4) + 4f * (-1 + 3f)) = 0
((-4 + 12f) + 4f * (-1 + 3f)) = 0
(-4 + 12f + (-1 * 4f + 3f * 4f)) = 0
(-4 + 12f + (-4f + 12f2)) = 0

Combine like terms: 12f + -4f = 8f
(-4 + 8f + 12f2) = 0

Solving
-4 + 8f + 12f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 2f + 3f2) = 0

Factor a trinomial.
4((-1 + -1f)(1 + -3f)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1f)' equal to zero and attempt to solve:

Simplifying
-1 + -1f = 0

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

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

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

Divide each side by '-1'.
f = -1

Simplifying
f = -1
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 = {-1, 0.3333333333}