(5s+2f)(5s-2f)=

Solution for (5s+2f)(5s-2f)= equation:

Simplifying
(5s + 2f)(5s + -2f) = 0

Reorder the terms:
(2f + 5s)(5s + -2f) = 0

Reorder the terms:
(2f + 5s)(-2f + 5s) = 0

Multiply (2f + 5s) * (-2f + 5s)
(2f * (-2f + 5s) + 5s * (-2f + 5s)) = 0
((-2f * 2f + 5s * 2f) + 5s * (-2f + 5s)) = 0

Reorder the terms:
((10fs + -4f2) + 5s * (-2f + 5s)) = 0
((10fs + -4f2) + 5s * (-2f + 5s)) = 0
(10fs + -4f2 + (-2f * 5s + 5s * 5s)) = 0
(10fs + -4f2 + (-10fs + 25s2)) = 0

Reorder the terms:
(10fs + -10fs + -4f2 + 25s2) = 0

Combine like terms: 10fs + -10fs = 0
(0 + -4f2 + 25s2) = 0
(-4f2 + 25s2) = 0

Solving
-4f2 + 25s2 = 0

Solving for variable 'f'.

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

Add '-25s2' to each side of the equation.
-4f2 + 25s2 + -25s2 = 0 + -25s2

Combine like terms: 25s2 + -25s2 = 0
-4f2 + 0 = 0 + -25s2
-4f2 = 0 + -25s2
Remove the zero:
-4f2 = -25s2

Divide each side by '-4'.
f2 = 6.25s2

Simplifying
f2 = 6.25s2

Take the square root of each side:
f = {-2.5s, 2.5s}