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

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

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

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

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

Multiply (-4 + 3v) * (-6 + 4v)
(-4(-6 + 4v) + 3v * (-6 + 4v)) = 0
((-6 * -4 + 4v * -4) + 3v * (-6 + 4v)) = 0
((24 + -16v) + 3v * (-6 + 4v)) = 0
(24 + -16v + (-6 * 3v + 4v * 3v)) = 0
(24 + -16v + (-18v + 12v2)) = 0

Combine like terms: -16v + -18v = -34v
(24 + -34v + 12v2) = 0

Solving
24 + -34v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -17v + 6v2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -3v)' equal to zero and attempt to solve:

Simplifying
4 + -3v = 0

Solving
4 + -3v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 0 + -4
-3v = 0 + -4

Combine like terms: 0 + -4 = -4
-3v = -4

Divide each side by '-3'.
v = 1.333333333

Simplifying
v = 1.333333333
Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

Solving
3 + -2v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2v = 0 + -3

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

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

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Solution
v = {1.333333333, 1.5}