(v+7)(9v+2)=0

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Solution for (v+7)(9v+2)=0 equation: 


Simplifying
(v + 7)(9v + 2) = 0

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

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

Multiply (7 + v) * (2 + 9v)
(7(2 + 9v) + v(2 + 9v)) = 0
((2 * 7 + 9v * 7) + v(2 + 9v)) = 0
((14 + 63v) + v(2 + 9v)) = 0
(14 + 63v + (2 * v + 9v * v)) = 0
(14 + 63v + (2v + 9v2)) = 0

Combine like terms: 63v + 2v = 65v
(14 + 65v + 9v2) = 0

Solving
14 + 65v + 9v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 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 + v = 0 + -7

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

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

Simplifying
v = -7

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

Simplifying
2 + 9v = 0

Solving
2 + 9v = 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 + 9v = 0 + -2

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

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

Divide each side by '9'.
v = -0.2222222222

Simplifying
v = -0.2222222222
Solution
v = {-7, -0.2222222222}

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