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

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

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

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

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

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

Reorder the terms:
((6fv + -9f2) + 2v * (-3f + 2v)) = 0
((6fv + -9f2) + 2v * (-3f + 2v)) = 0
(6fv + -9f2 + (-3f * 2v + 2v * 2v)) = 0
(6fv + -9f2 + (-6fv + 4v2)) = 0

Reorder the terms:
(6fv + -6fv + -9f2 + 4v2) = 0

Combine like terms: 6fv + -6fv = 0
(0 + -9f2 + 4v2) = 0
(-9f2 + 4v2) = 0

Solving
-9f2 + 4v2 = 0

Solving for variable 'f'.

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

Add '-4v2' to each side of the equation.
-9f2 + 4v2 + -4v2 = 0 + -4v2

Combine like terms: 4v2 + -4v2 = 0
-9f2 + 0 = 0 + -4v2
-9f2 = 0 + -4v2
Remove the zero:
-9f2 = -4v2

Divide each side by '-9'.
f2 = 0.4444444444v2

Simplifying
f2 = 0.4444444444v2

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