(3f-1)(2f-3)=

Solution for (3f-1)(2f-3)= equation:

Simplifying
(3f + -1)(2f + -3) = 0

Reorder the terms:
(-1 + 3f)(2f + -3) = 0

Reorder the terms:
(-1 + 3f)(-3 + 2f) = 0

Multiply (-1 + 3f) * (-3 + 2f)
(-1(-3 + 2f) + 3f * (-3 + 2f)) = 0
((-3 * -1 + 2f * -1) + 3f * (-3 + 2f)) = 0
((3 + -2f) + 3f * (-3 + 2f)) = 0
(3 + -2f + (-3 * 3f + 2f * 3f)) = 0
(3 + -2f + (-9f + 6f2)) = 0

Combine like terms: -2f + -9f = -11f
(3 + -11f + 6f2) = 0

Solving
3 + -11f + 6f2 = 0

Solving for variable 'f'.

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

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 '(3 + -2f)' equal to zero and attempt to solve:

Simplifying
3 + -2f = 0

Solving
3 + -2f = 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 + -2f = 0 + -3

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

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

Divide each side by '-2'.
f = 1.5

Simplifying
f = 1.5
Solution
f = {0.3333333333, 1.5}