(3v-1)(4v-1)=

Solution for (3v-1)(4v-1)= equation:

Simplifying
(3v + -1)(4v + -1) = 0

Reorder the terms:
(-1 + 3v)(4v + -1) = 0

Reorder the terms:
(-1 + 3v)(-1 + 4v) = 0

Multiply (-1 + 3v) * (-1 + 4v)
(-1(-1 + 4v) + 3v * (-1 + 4v)) = 0
((-1 * -1 + 4v * -1) + 3v * (-1 + 4v)) = 0
((1 + -4v) + 3v * (-1 + 4v)) = 0
(1 + -4v + (-1 * 3v + 4v * 3v)) = 0
(1 + -4v + (-3v + 12v2)) = 0

Combine like terms: -4v + -3v = -7v
(1 + -7v + 12v2) = 0

Solving
1 + -7v + 12v2 = 0

Solving for variable 'v'.

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

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

Simplifying
1 + -4v = 0

Solving
1 + -4v = 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 + -4v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4v = 0 + -1
-4v = 0 + -1

Combine like terms: 0 + -1 = -1
-4v = -1

Divide each side by '-4'.
v = 0.25

Simplifying
v = 0.25
Subproblem 2
Set the factor '(1 + -3v)' equal to zero and attempt to solve:

Simplifying
1 + -3v = 0

Solving
1 + -3v = 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 + -3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3v = 0 + -1
-3v = 0 + -1

Combine like terms: 0 + -1 = -1
-3v = -1

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {0.25, 0.3333333333}