f(4f-2)=552

Solution for f(4f-2)=552 equation:

Simplifying
f(4f + -2) = 552

Reorder the terms:
f(-2 + 4f) = 552
(-2 * f + 4f * f) = 552
(-2f + 4f2) = 552

Solving
-2f + 4f2 = 552

Solving for variable 'f'.

Reorder the terms:
-552 + -2f + 4f2 = 552 + -552

Combine like terms: 552 + -552 = 0
-552 + -2f + 4f2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-276 + -1f + 2f2) = 0

Factor a trinomial.
2((-23 + -2f)(12 + -1f)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-23 + -2f)' equal to zero and attempt to solve:

Simplifying
-23 + -2f = 0

Solving
-23 + -2f = 0

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

Add '23' to each side of the equation.
-23 + 23 + -2f = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2f = 0 + 23
-2f = 0 + 23

Combine like terms: 0 + 23 = 23
-2f = 23

Divide each side by '-2'.
f = -11.5

Simplifying
f = -11.5
Subproblem 2
Set the factor '(12 + -1f)' equal to zero and attempt to solve:

Simplifying
12 + -1f = 0

Solving
12 + -1f = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1f = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1f = 0 + -12
-1f = 0 + -12

Combine like terms: 0 + -12 = -12
-1f = -12

Divide each side by '-1'.
f = 12

Simplifying
f = 12
Solution
f = {-11.5, 12}