(4v+6)(5v+1)=

Solution for (4v+6)(5v+1)= equation:

Simplifying
(4v + 6)(5v + 1) = 0

Reorder the terms:
(6 + 4v)(5v + 1) = 0

Reorder the terms:
(6 + 4v)(1 + 5v) = 0

Multiply (6 + 4v) * (1 + 5v)
(6(1 + 5v) + 4v * (1 + 5v)) = 0
((1 * 6 + 5v * 6) + 4v * (1 + 5v)) = 0
((6 + 30v) + 4v * (1 + 5v)) = 0
(6 + 30v + (1 * 4v + 5v * 4v)) = 0
(6 + 30v + (4v + 20v2)) = 0

Combine like terms: 30v + 4v = 34v
(6 + 34v + 20v2) = 0

Solving
6 + 34v + 20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 17v + 10v2) = 0

Factor a trinomial.
2((3 + 2v)(1 + 5v)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve:

Simplifying
1 + 5v = 0

Solving
1 + 5v = 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 + 5v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5v = 0 + -1
5v = 0 + -1

Combine like terms: 0 + -1 = -1
5v = -1

Divide each side by '5'.
v = -0.2

Simplifying
v = -0.2
Solution
v = {-1.5, -0.2}