(f-1)(f-2)=

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

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

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

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

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

Combine like terms: -1f + -2f = -3f
(2 + -3f + f2) = 0

Solving
2 + -3f + f2 = 0

Solving for variable 'f'.

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

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 '(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 = {1, 2}