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

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


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

Reorder the terms:
(5f + 3s)(3s + -5f) = 0

Reorder the terms:
(5f + 3s)(-5f + 3s) = 0

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

Reorder the terms:
((15fs + -25f2) + 3s * (-5f + 3s)) = 0
((15fs + -25f2) + 3s * (-5f + 3s)) = 0
(15fs + -25f2 + (-5f * 3s + 3s * 3s)) = 0
(15fs + -25f2 + (-15fs + 9s2)) = 0

Reorder the terms:
(15fs + -15fs + -25f2 + 9s2) = 0

Combine like terms: 15fs + -15fs = 0
(0 + -25f2 + 9s2) = 0
(-25f2 + 9s2) = 0

Solving
-25f2 + 9s2 = 0

Solving for variable 'f'.

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

Add '-9s2' to each side of the equation.
-25f2 + 9s2 + -9s2 = 0 + -9s2

Combine like terms: 9s2 + -9s2 = 0
-25f2 + 0 = 0 + -9s2
-25f2 = 0 + -9s2
Remove the zero:
-25f2 = -9s2

Divide each side by '-25'.
f2 = 0.36s2

Simplifying
f2 = 0.36s2

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

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