(1-v)(4v+6)=0

Solution for (1-v)(4v+6)=0 equation:

Simplifying
(1 + -1v)(4v + 6) = 0

Reorder the terms:
(1 + -1v)(6 + 4v) = 0

Multiply (1 + -1v) * (6 + 4v)
(1(6 + 4v) + -1v * (6 + 4v)) = 0
((6 * 1 + 4v * 1) + -1v * (6 + 4v)) = 0
((6 + 4v) + -1v * (6 + 4v)) = 0
(6 + 4v + (6 * -1v + 4v * -1v)) = 0
(6 + 4v + (-6v + -4v2)) = 0

Combine like terms: 4v + -6v = -2v
(6 + -2v + -4v2) = 0

Solving
6 + -2v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -1v + -2v2) = 0

Factor a trinomial.
2((1 + -1v)(3 + 2v)) = 0

Ignore the factor 2.
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 '(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, -1.5}