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

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Solution for (1+v)(5v+2)=0 equation: 


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

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

Multiply (1 + v) * (2 + 5v)
(1(2 + 5v) + v(2 + 5v)) = 0
((2 * 1 + 5v * 1) + v(2 + 5v)) = 0
((2 + 5v) + v(2 + 5v)) = 0
(2 + 5v + (2 * v + 5v * v)) = 0
(2 + 5v + (2v + 5v2)) = 0

Combine like terms: 5v + 2v = 7v
(2 + 7v + 5v2) = 0

Solving
2 + 7v + 5v2 = 0

Solving for variable 'v'.

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


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

Simplifying
1 + v = 0

Solving
1 + v = 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 + v = 0 + -1

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

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

Simplifying
v = -1

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 = {-1, -0.4}

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