(4b-5f)(4b+4f)=

Solution for (4b-5f)(4b+4f)= equation:

Simplifying
(4b + -5f)(4b + 4f) = 0

Multiply (4b + -5f) * (4b + 4f)
(4b * (4b + 4f) + -5f * (4b + 4f)) = 0
((4b * 4b + 4f * 4b) + -5f * (4b + 4f)) = 0

Reorder the terms:
((16bf + 16b2) + -5f * (4b + 4f)) = 0
((16bf + 16b2) + -5f * (4b + 4f)) = 0
(16bf + 16b2 + (4b * -5f + 4f * -5f)) = 0
(16bf + 16b2 + (-20bf + -20f2)) = 0

Reorder the terms:
(16bf + -20bf + 16b2 + -20f2) = 0

Combine like terms: 16bf + -20bf = -4bf
(-4bf + 16b2 + -20f2) = 0

Solving
-4bf + 16b2 + -20f2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1bf + 4b2 + -5f2) = 0

Factor a trinomial.
4((4b + -5f)(b + f)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(4b + -5f)' equal to zero and attempt to solve:

Simplifying
4b + -5f = 0

Solving
4b + -5f = 0

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

Add '5f' to each side of the equation.
4b + -5f + 5f = 0 + 5f

Combine like terms: -5f + 5f = 0
4b + 0 = 0 + 5f
4b = 0 + 5f
Remove the zero:
4b = 5f

Divide each side by '4'.
b = 1.25f

Simplifying
b = 1.25f
Subproblem 2
Set the factor '(b + f)' equal to zero and attempt to solve:

Simplifying
b + f = 0

Solving
b + f = 0

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

Add '-1f' to each side of the equation.
b + f + -1f = 0 + -1f

Combine like terms: f + -1f = 0
b + 0 = 0 + -1f
b = 0 + -1f
Remove the zero:
b = -1f

Simplifying
b = -1f
Solution
b = {1.25f, -1f}