(7+v)(2v+5)=0

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Solution for (7+v)(2v+5)=0 equation: 


Simplifying
(7 + v)(2v + 5) = 0

Reorder the terms:
(7 + v)(5 + 2v) = 0

Multiply (7 + v) * (5 + 2v)
(7(5 + 2v) + v(5 + 2v)) = 0
((5 * 7 + 2v * 7) + v(5 + 2v)) = 0
((35 + 14v) + v(5 + 2v)) = 0
(35 + 14v + (5 * v + 2v * v)) = 0
(35 + 14v + (5v + 2v2)) = 0

Combine like terms: 14v + 5v = 19v
(35 + 19v + 2v2) = 0

Solving
35 + 19v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + v)(5 + 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 '(5 + 2v)' equal to zero and attempt to solve:

Simplifying
5 + 2v = 0

Solving
5 + 2v = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2v = 0 + -5
2v = 0 + -5

Combine like terms: 0 + -5 = -5
2v = -5

Divide each side by '2'.
v = -2.5

Simplifying
v = -2.5
Solution
v = {-7, -2.5}

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