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

Solution for (6+v)(4v-2)=0 equation:

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

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

Multiply (6 + v) * (-2 + 4v)
(6(-2 + 4v) + v(-2 + 4v)) = 0
((-2 * 6 + 4v * 6) + v(-2 + 4v)) = 0
((-12 + 24v) + v(-2 + 4v)) = 0
(-12 + 24v + (-2 * v + 4v * v)) = 0
(-12 + 24v + (-2v + 4v2)) = 0

Combine like terms: 24v + -2v = 22v
(-12 + 22v + 4v2) = 0

Solving
-12 + 22v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 11v + 2v2) = 0

Factor a trinomial.
2((-6 + -1v)(1 + -2v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

Simplifying
v = -6
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 = {-6, 0.5}