(2s+3f)(2s-3f)=

Solution for (2s+3f)(2s-3f)= equation:

Simplifying
(2s + 3f)(2s + -3f) = 0

Reorder the terms:
(3f + 2s)(2s + -3f) = 0

Reorder the terms:
(3f + 2s)(-3f + 2s) = 0

Multiply (3f + 2s) * (-3f + 2s)
(3f * (-3f + 2s) + 2s * (-3f + 2s)) = 0
((-3f * 3f + 2s * 3f) + 2s * (-3f + 2s)) = 0

Reorder the terms:
((6fs + -9f2) + 2s * (-3f + 2s)) = 0
((6fs + -9f2) + 2s * (-3f + 2s)) = 0
(6fs + -9f2 + (-3f * 2s + 2s * 2s)) = 0
(6fs + -9f2 + (-6fs + 4s2)) = 0

Reorder the terms:
(6fs + -6fs + -9f2 + 4s2) = 0

Combine like terms: 6fs + -6fs = 0
(0 + -9f2 + 4s2) = 0
(-9f2 + 4s2) = 0

Solving
-9f2 + 4s2 = 0

Solving for variable 'f'.

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

Add '-4s2' to each side of the equation.
-9f2 + 4s2 + -4s2 = 0 + -4s2

Combine like terms: 4s2 + -4s2 = 0
-9f2 + 0 = 0 + -4s2
-9f2 = 0 + -4s2
Remove the zero:
-9f2 = -4s2

Divide each side by '-9'.
f2 = 0.4444444444s2

Simplifying
f2 = 0.4444444444s2

Take the square root of each side:
f = {-0.666666667s, 0.666666667s}