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

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


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

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

Multiply (5 + v) * (2 + 5v)
(5(2 + 5v) + v(2 + 5v)) = 0
((2 * 5 + 5v * 5) + v(2 + 5v)) = 0
((10 + 25v) + v(2 + 5v)) = 0
(10 + 25v + (2 * v + 5v * v)) = 0
(10 + 25v + (2v + 5v2)) = 0

Combine like terms: 25v + 2v = 27v
(10 + 27v + 5v2) = 0

Solving
10 + 27v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + v)(2 + 5v) = 0


Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 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 + v = 0 + -5

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

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

Simplifying
v = -5

Subproblem 2
Set the factor '(2 + 5v)' equal to zero and attempt to solve:

Simplifying
2 + 5v = 0

Solving
2 + 5v = 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 + 5v = 0 + -2

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

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

Divide each side by '5'.
v = -0.4

Simplifying
v = -0.4
Solution
v = {-5, -0.4}

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