4r^2-8rf+4f^2=

Solution for 4r^2-8rf+4f^2= equation:

Simplifying
4r2 + -8rf + 4f2 = 0

Reorder the terms:
-8fr + 4f2 + 4r2 = 0

Solving
-8fr + 4f2 + 4r2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2fr + f2 + r2) = 0

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

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

Simplifying
f + -1r = 0

Solving
f + -1r = 0

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

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

Combine like terms: -1r + r = 0
f + 0 = 0 + r
f = 0 + r
Remove the zero:
f = r

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

Simplifying
f + -1r = 0

Solving
f + -1r = 0

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

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

Combine like terms: -1r + r = 0
f + 0 = 0 + r
f = 0 + r
Remove the zero:
f = r

Simplifying
f = r
Solution
f = {r, r}