(7+v)(2v+1)=0

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Solution for (7+v)(2v+1)=0 equation: 


Simplifying
(7 + v)(2v + 1) = 0

Reorder the terms:
(7 + v)(1 + 2v) = 0

Multiply (7 + v) * (1 + 2v)
(7(1 + 2v) + v(1 + 2v)) = 0
((1 * 7 + 2v * 7) + v(1 + 2v)) = 0
((7 + 14v) + v(1 + 2v)) = 0
(7 + 14v + (1 * v + 2v * v)) = 0
(7 + 14v + (1v + 2v2)) = 0

Combine like terms: 14v + 1v = 15v
(7 + 15v + 2v2) = 0

Solving
7 + 15v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + v)(1 + 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 '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {-7, -0.5}

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