(3v+7)(9+v)=0

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Solution for (3v+7)(9+v)=0 equation:


Simplifying
(3v + 7)(9 + v) = 0

Reorder the terms:
(7 + 3v)(9 + v) = 0

Multiply (7 + 3v) * (9 + v)
(7(9 + v) + 3v * (9 + v)) = 0
((9 * 7 + v * 7) + 3v * (9 + v)) = 0
((63 + 7v) + 3v * (9 + v)) = 0
(63 + 7v + (9 * 3v + v * 3v)) = 0
(63 + 7v + (27v + 3v2)) = 0

Combine like terms: 7v + 27v = 34v
(63 + 34v + 3v2) = 0

Solving
63 + 34v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + v)(7 + 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 '(7 + 3v)' equal to zero and attempt to solve:

Simplifying
7 + 3v = 0

Solving
7 + 3v = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3v = 0 + -7
3v = 0 + -7

Combine like terms: 0 + -7 = -7
3v = -7

Divide each side by '3'.
v = -2.333333333

Simplifying
v = -2.333333333
Solution
v = {-9, -2.333333333}

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