(3f-3)(3f-3)=

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

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

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

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

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

Combine like terms: -9f + -9f = -18f
(9 + -18f + 9f2) = 0

Solving
9 + -18f + 9f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '9'.
9(1 + -2f + f2) = 0

Factor a trinomial.
9((1 + -1f)(1 + -1f)) = 0

Ignore the factor 9.
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 + -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
Solution
f = {1, 1}