(6v-3)(-4v+2)=

Solution for (6v-3)(-4v+2)= equation:

Simplifying
(6v + -3)(-4v + 2) = 0

Reorder the terms:
(-3 + 6v)(-4v + 2) = 0

Reorder the terms:
(-3 + 6v)(2 + -4v) = 0

Multiply (-3 + 6v) * (2 + -4v)
(-3(2 + -4v) + 6v * (2 + -4v)) = 0
((2 * -3 + -4v * -3) + 6v * (2 + -4v)) = 0
((-6 + 12v) + 6v * (2 + -4v)) = 0
(-6 + 12v + (2 * 6v + -4v * 6v)) = 0
(-6 + 12v + (12v + -24v2)) = 0

Combine like terms: 12v + 12v = 24v
(-6 + 24v + -24v2) = 0

Solving
-6 + 24v + -24v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 4v + -4v2) = 0

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

Ignore the factor 6.
Subproblem 1
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
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 = {0.5, 0.5}