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

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


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

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

Multiply (2 + v) * (7 + 2v)
(2(7 + 2v) + v(7 + 2v)) = 0
((7 * 2 + 2v * 2) + v(7 + 2v)) = 0
((14 + 4v) + v(7 + 2v)) = 0
(14 + 4v + (7 * v + 2v * v)) = 0
(14 + 4v + (7v + 2v2)) = 0

Combine like terms: 4v + 7v = 11v
(14 + 11v + 2v2) = 0

Solving
14 + 11v + 2v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(7 + 2v)' equal to zero and attempt to solve:

Simplifying
7 + 2v = 0

Solving
7 + 2v = 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 + 2v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2v = 0 + -7
2v = 0 + -7

Combine like terms: 0 + -7 = -7
2v = -7

Divide each side by '2'.
v = -3.5

Simplifying
v = -3.5

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

Simplifying
2 + v = 0

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

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

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

Simplifying
v = -2
Solution
v = {-3.5, -2}

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