3v(8v-4)=

Solution for 3v(8v-4)= equation:

Simplifying
3v(8v + -4) = 0

Reorder the terms:
3v(-4 + 8v) = 0
(-4 * 3v + 8v * 3v) = 0
(-12v + 24v2) = 0

Solving
-12v + 24v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '12v'.
12v(-1 + 2v) = 0

Ignore the factor 12.
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}