5v^2+50v+11v+110=0

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Solution for 5v^2+50v+11v+110=0 equation: 


Simplifying
5v2 + 50v + 11v + 110 = 0

Reorder the terms:
110 + 50v + 11v + 5v2 = 0

Combine like terms: 50v + 11v = 61v
110 + 61v + 5v2 = 0

Solving
110 + 61v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(10 + v)(11 + 5v) = 0


Subproblem 1
Set the factor '(10 + v)' equal to zero and attempt to solve:

Simplifying
10 + v = 0

Solving
10 + v = 0

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

Add '-10' to each side of the equation.
10 + -10 + v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + v = 0 + -10
v = 0 + -10

Combine like terms: 0 + -10 = -10
v = -10

Simplifying
v = -10

Subproblem 2
Set the factor '(11 + 5v)' equal to zero and attempt to solve:

Simplifying
11 + 5v = 0

Solving
11 + 5v = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5v = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5v = 0 + -11
5v = 0 + -11

Combine like terms: 0 + -11 = -11
5v = -11

Divide each side by '5'.
v = -2.2

Simplifying
v = -2.2
Solution
v = {-10, -2.2}

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