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

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

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

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

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

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

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

Solving for variable 'v'.

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

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

Simplifying
-1 + v = 0

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

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

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

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

Simplifying
3 + -4v = 0

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

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

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

Divide each side by '-4'.
v = 0.75

Simplifying
v = 0.75
Solution
v = {1, 0.75}