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

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

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

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

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

Multiply (4 + -6v) * (2 + -4v)
(4(2 + -4v) + -6v * (2 + -4v)) = 0
((2 * 4 + -4v * 4) + -6v * (2 + -4v)) = 0
((8 + -16v) + -6v * (2 + -4v)) = 0
(8 + -16v + (2 * -6v + -4v * -6v)) = 0
(8 + -16v + (-12v + 24v2)) = 0

Combine like terms: -16v + -12v = -28v
(8 + -28v + 24v2) = 0

Solving
8 + -28v + 24v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -7v + 6v2) = 0

Factor a trinomial.
4((1 + -2v)(2 + -3v)) = 0

Ignore the factor 4.
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 '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 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 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {0.5, 0.6666666667}