6v(4+8v)=

Solution for 6v(4+8v)= equation:

Simplifying
6v(4 + 8v) = 0
(4 * 6v + 8v * 6v) = 0
(24v + 48v2) = 0

Solving
24v + 48v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '24v'.
24v(1 + 2v) = 0

Ignore the factor 24.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
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 = {0, -0.5}