v^2+18v+80=0

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Solution for v^2+18v+80=0 equation: 


Simplifying
v2 + 18v + 80 = 0

Reorder the terms:
80 + 18v + v2 = 0

Solving
80 + 18v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(10 + v)(8 + v) = 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 '(8 + v)' equal to zero and attempt to solve:

Simplifying
8 + v = 0

Solving
8 + v = 0

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

Add '-8' to each side of the equation.
8 + -8 + v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + v = 0 + -8
v = 0 + -8

Combine like terms: 0 + -8 = -8
v = -8

Simplifying
v = -8
Solution
v = {-10, -8}

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