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

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

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

Reorder the terms:
(-5f + 4v)(4v + 4f) = 0

Reorder the terms:
(-5f + 4v)(4f + 4v) = 0

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

Reorder the terms:
((-20fv + -20f2) + 4v * (4f + 4v)) = 0
((-20fv + -20f2) + 4v * (4f + 4v)) = 0
(-20fv + -20f2 + (4f * 4v + 4v * 4v)) = 0
(-20fv + -20f2 + (16fv + 16v2)) = 0

Reorder the terms:
(-20fv + 16fv + -20f2 + 16v2) = 0

Combine like terms: -20fv + 16fv = -4fv
(-4fv + -20f2 + 16v2) = 0

Solving
-4fv + -20f2 + 16v2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1fv + -5f2 + 4v2) = 0

Factor a trinomial.
4((-1f + -1v)(5f + -4v)) = 0

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

Simplifying
-1f + -1v = 0

Solving
-1f + -1v = 0

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

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

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

Divide each side by '-1'.
f = -1v

Simplifying
f = -1v
Subproblem 2
Set the factor '(5f + -4v)' equal to zero and attempt to solve:

Simplifying
5f + -4v = 0

Solving
5f + -4v = 0

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

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

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

Divide each side by '5'.
f = 0.8v

Simplifying
f = 0.8v
Solution
f = {-1v, 0.8v}