c^2+3cf-40f^2=

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Solution for c^2+3cf-40f^2= equation: 


Simplifying
c2 + 3cf + -40f2 = 0

Reorder the terms:
3cf + c2 + -40f2 = 0

Solving
3cf + c2 + -40f2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -5f)(c + 8f) = 0


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

Simplifying
c + -5f = 0

Solving
c + -5f = 0

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

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

Combine like terms: -5f + 5f = 0
c + 0 = 0 + 5f
c = 0 + 5f
Remove the zero:
c = 5f

Simplifying
c = 5f

Subproblem 2
Set the factor '(c + 8f)' equal to zero and attempt to solve:

Simplifying
c + 8f = 0

Solving
c + 8f = 0

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

Add '-8f' to each side of the equation.
c + 8f + -8f = 0 + -8f

Combine like terms: 8f + -8f = 0
c + 0 = 0 + -8f
c = 0 + -8f
Remove the zero:
c = -8f

Simplifying
c = -8f
Solution
c = {5f, -8f}

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