(2+V)(4V-1)=0

Solution for (2+V)(4V-1)=0 equation:

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

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

Multiply (2 + V) * (-1 + 4V)
(2(-1 + 4V) + V(-1 + 4V)) = 0
((-1 * 2 + 4V * 2) + V(-1 + 4V)) = 0
((-2 + 8V) + V(-1 + 4V)) = 0
(-2 + 8V + (-1 * V + 4V * V)) = 0
(-2 + 8V + (-1V + 4V2)) = 0

Combine like terms: 8V + -1V = 7V
(-2 + 7V + 4V2) = 0

Solving
-2 + 7V + 4V2 = 0

Solving for variable 'V'.

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

Subproblem 1
Set the factor '(-2 + -1V)' equal to zero and attempt to solve:

Simplifying
-2 + -1V = 0

Solving
-2 + -1V = 0

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

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

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

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

Divide each side by '-1'.
V = -2

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

Simplifying
1 + -4V = 0

Solving
1 + -4V = 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 + -4V = 0 + -1

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

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

Divide each side by '-4'.
V = 0.25

Simplifying
V = 0.25
Solution
V = {-2, 0.25}