(2+v)(5v+4)=0

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Solution for (2+v)(5v+4)=0 equation: 


Simplifying
(2 + v)(5v + 4) = 0

Reorder the terms:
(2 + v)(4 + 5v) = 0

Multiply (2 + v) * (4 + 5v)
(2(4 + 5v) + v(4 + 5v)) = 0
((4 * 2 + 5v * 2) + v(4 + 5v)) = 0
((8 + 10v) + v(4 + 5v)) = 0
(8 + 10v + (4 * v + 5v * v)) = 0
(8 + 10v + (4v + 5v2)) = 0

Combine like terms: 10v + 4v = 14v
(8 + 14v + 5v2) = 0

Solving
8 + 14v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + v)(4 + 5v) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + 5v)' equal to zero and attempt to solve:

Simplifying
4 + 5v = 0

Solving
4 + 5v = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5v = 0 + -4
5v = 0 + -4

Combine like terms: 0 + -4 = -4
5v = -4

Divide each side by '5'.
v = -0.8

Simplifying
v = -0.8
Solution
v = {-2, -0.8}

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