(4v+2)(4-v)=0

Solution for (4v+2)(4-v)=0 equation:

Simplifying
(4v + 2)(4 + -1v) = 0

Reorder the terms:
(2 + 4v)(4 + -1v) = 0

Multiply (2 + 4v) * (4 + -1v)
(2(4 + -1v) + 4v * (4 + -1v)) = 0
((4 * 2 + -1v * 2) + 4v * (4 + -1v)) = 0
((8 + -2v) + 4v * (4 + -1v)) = 0
(8 + -2v + (4 * 4v + -1v * 4v)) = 0
(8 + -2v + (16v + -4v2)) = 0

Combine like terms: -2v + 16v = 14v
(8 + 14v + -4v2) = 0

Solving
8 + 14v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 7v + -2v2) = 0

Factor a trinomial.
2((4 + -1v)(1 + 2v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

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

Simplifying
1 + 2v = 0

Solving
1 + 2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {4, -0.5}