(3b+4f)(3b-4f)=

Solution for (3b+4f)(3b-4f)= equation:

Simplifying
(3b + 4f)(3b + -4f) = 0

Multiply (3b + 4f) * (3b + -4f)
(3b * (3b + -4f) + 4f * (3b + -4f)) = 0
((3b * 3b + -4f * 3b) + 4f * (3b + -4f)) = 0

Reorder the terms:
((-12bf + 9b2) + 4f * (3b + -4f)) = 0
((-12bf + 9b2) + 4f * (3b + -4f)) = 0
(-12bf + 9b2 + (3b * 4f + -4f * 4f)) = 0
(-12bf + 9b2 + (12bf + -16f2)) = 0

Reorder the terms:
(-12bf + 12bf + 9b2 + -16f2) = 0

Combine like terms: -12bf + 12bf = 0
(0 + 9b2 + -16f2) = 0
(9b2 + -16f2) = 0

Solving
9b2 + -16f2 = 0

Solving for variable 'b'.

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

Add '16f2' to each side of the equation.
9b2 + -16f2 + 16f2 = 0 + 16f2

Combine like terms: -16f2 + 16f2 = 0
9b2 + 0 = 0 + 16f2
9b2 = 0 + 16f2
Remove the zero:
9b2 = 16f2

Divide each side by '9'.
b2 = 1.777777778f2

Simplifying
b2 = 1.777777778f2

Take the square root of each side:
b = {-1.333333333f, 1.333333333f}