c^2f^2+15cf+50=

Solution for c^2f^2+15cf+50= equation:

Simplifying
c2f2 + 15cf + 50 = 0

Reorder the terms:
50 + 15cf + c2f2 = 0

Solving
50 + 15cf + c2f2 = 0

Solving for variable 'c'.

Factor a trinomial.
(10 + cf)(5 + cf) = 0

Subproblem 1
Set the factor '(10 + cf)' equal to zero and attempt to solve:

Simplifying
10 + cf = 0

Solving
10 + cf = 0

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

Add '-10' to each side of the equation.
10 + -10 + cf = 0 + -10

Combine like terms: 10 + -10 = 0
0 + cf = 0 + -10
cf = 0 + -10

Combine like terms: 0 + -10 = -10
cf = -10

Divide each side by 'f'.
c = -10f-1

Simplifying
c = -10f-1
Subproblem 2
Set the factor '(5 + cf)' equal to zero and attempt to solve:

Simplifying
5 + cf = 0

Solving
5 + cf = 0

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

Add '-5' to each side of the equation.
5 + -5 + cf = 0 + -5

Combine like terms: 5 + -5 = 0
0 + cf = 0 + -5
cf = 0 + -5

Combine like terms: 0 + -5 = -5
cf = -5

Divide each side by 'f'.
c = -5f-1

Simplifying
c = -5f-1
Solution
c = {-10f-1, -5f-1}