(5c+3f)(5c-3f)=

Solution for (5c+3f)(5c-3f)= equation:

Simplifying
(5c + 3f)(5c + -3f) = 0

Multiply (5c + 3f) * (5c + -3f)
(5c * (5c + -3f) + 3f * (5c + -3f)) = 0
((5c * 5c + -3f * 5c) + 3f * (5c + -3f)) = 0

Reorder the terms:
((-15cf + 25c2) + 3f * (5c + -3f)) = 0
((-15cf + 25c2) + 3f * (5c + -3f)) = 0
(-15cf + 25c2 + (5c * 3f + -3f * 3f)) = 0
(-15cf + 25c2 + (15cf + -9f2)) = 0

Reorder the terms:
(-15cf + 15cf + 25c2 + -9f2) = 0

Combine like terms: -15cf + 15cf = 0
(0 + 25c2 + -9f2) = 0
(25c2 + -9f2) = 0

Solving
25c2 + -9f2 = 0

Solving for variable 'c'.

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

Add '9f2' to each side of the equation.
25c2 + -9f2 + 9f2 = 0 + 9f2

Combine like terms: -9f2 + 9f2 = 0
25c2 + 0 = 0 + 9f2
25c2 = 0 + 9f2
Remove the zero:
25c2 = 9f2

Divide each side by '25'.
c2 = 0.36f2

Simplifying
c2 = 0.36f2

Take the square root of each side:
c = {-0.6f, 0.6f}