(9+v)(3v+2)=0

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Solution for (9+v)(3v+2)=0 equation: 


Simplifying
(9 + v)(3v + 2) = 0

Reorder the terms:
(9 + v)(2 + 3v) = 0

Multiply (9 + v) * (2 + 3v)
(9(2 + 3v) + v(2 + 3v)) = 0
((2 * 9 + 3v * 9) + v(2 + 3v)) = 0
((18 + 27v) + v(2 + 3v)) = 0
(18 + 27v + (2 * v + 3v * v)) = 0
(18 + 27v + (2v + 3v2)) = 0

Combine like terms: 27v + 2v = 29v
(18 + 29v + 3v2) = 0

Solving
18 + 29v + 3v2 = 0

Solving for variable 'v'.

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


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

Simplifying
9 + v = 0

Solving
9 + v = 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 + v = 0 + -9

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

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

Simplifying
v = -9

Subproblem 2
Set the factor '(2 + 3v)' equal to zero and attempt to solve:

Simplifying
2 + 3v = 0

Solving
2 + 3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3v = 0 + -2
3v = 0 + -2

Combine like terms: 0 + -2 = -2
3v = -2

Divide each side by '3'.
v = -0.6666666667

Simplifying
v = -0.6666666667
Solution
v = {-9, -0.6666666667}

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