(1+v)(2v+9)=0

Solution for (1+v)(2v+9)=0 equation:

Simplifying
(1 + v)(2v + 9) = 0

Reorder the terms:
(1 + v)(9 + 2v) = 0

Multiply (1 + v) * (9 + 2v)
(1(9 + 2v) + v(9 + 2v)) = 0
((9 * 1 + 2v * 1) + v(9 + 2v)) = 0
((9 + 2v) + v(9 + 2v)) = 0
(9 + 2v + (9 * v + 2v * v)) = 0
(9 + 2v + (9v + 2v2)) = 0

Combine like terms: 2v + 9v = 11v
(9 + 11v + 2v2) = 0

Solving
9 + 11v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + 2v)(1 + v) = 0

Subproblem 1
Set the factor '(9 + 2v)' equal to zero and attempt to solve:

Simplifying
9 + 2v = 0

Solving
9 + 2v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 2v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2v = 0 + -9
2v = 0 + -9

Combine like terms: 0 + -9 = -9
2v = -9

Divide each side by '2'.
v = -4.5

Simplifying
v = -4.5
Subproblem 2
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
Solution
v = {-4.5, -1}