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

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


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

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

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

Combine like terms: 4v + 10v = 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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