9v^2+77v+40=0

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Solution for 9v^2+77v+40=0 equation: 


Simplifying
9v2 + 77v + 40 = 0

Reorder the terms:
40 + 77v + 9v2 = 0

Solving
40 + 77v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + v)(5 + 9v) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + 9v)' equal to zero and attempt to solve:

Simplifying
5 + 9v = 0

Solving
5 + 9v = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9v = 0 + -5
9v = 0 + -5

Combine like terms: 0 + -5 = -5
9v = -5

Divide each side by '9'.
v = -0.5555555556

Simplifying
v = -0.5555555556
Solution
v = {-8, -0.5555555556}

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