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

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


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

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

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

Combine like terms: 14v + 9v = 23v
(63 + 23v + 2v2) = 0

Solving
63 + 23v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + v)(9 + 2v) = 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 '(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
Solution
v = {-7, -4.5}

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