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

Solution for (1-v)(3v-4)=0 equation:

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

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

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

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

Solving
-4 + 7v + -3v2 = 0

Solving for variable 'v'.

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

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 '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

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

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

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

Divide each side by '-1'.
v = 1

Simplifying
v = 1
Solution
v = {1.333333333, 1}