(3f+2)(f-2)=0

Solution for (3f+2)(f-2)=0 equation:

Simplifying
(3f + 2)(f + -2) = 0

Reorder the terms:
(2 + 3f)(f + -2) = 0

Reorder the terms:
(2 + 3f)(-2 + f) = 0

Multiply (2 + 3f) * (-2 + f)
(2(-2 + f) + 3f * (-2 + f)) = 0
((-2 * 2 + f * 2) + 3f * (-2 + f)) = 0
((-4 + 2f) + 3f * (-2 + f)) = 0
(-4 + 2f + (-2 * 3f + f * 3f)) = 0
(-4 + 2f + (-6f + 3f2)) = 0

Combine like terms: 2f + -6f = -4f
(-4 + -4f + 3f2) = 0

Solving
-4 + -4f + 3f2 = 0

Solving for variable 'f'.

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

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

Simplifying
-2 + -3f = 0

Solving
-2 + -3f = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3f = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3f = 0 + 2
-3f = 0 + 2

Combine like terms: 0 + 2 = 2
-3f = 2

Divide each side by '-3'.
f = -0.6666666667

Simplifying
f = -0.6666666667
Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve:

Simplifying
2 + -1f = 0

Solving
2 + -1f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1f = 0 + -2
-1f = 0 + -2

Combine like terms: 0 + -2 = -2
-1f = -2

Divide each side by '-1'.
f = 2

Simplifying
f = 2
Solution
f = {-0.6666666667, 2}