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

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

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

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

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

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

Solving
4 + -1v + -3v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
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
Solution
v = {1, -1.333333333}