9v^2+71v+56=0

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Solution for 9v^2+71v+56=0 equation: 


Simplifying
9v2 + 71v + 56 = 0

Reorder the terms:
56 + 71v + 9v2 = 0

Solving
56 + 71v + 9v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve:

Simplifying
7 + v = 0

Solving
7 + v = 0

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

Add '-7' to each side of the equation.
7 + -7 + v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + v = 0 + -7
v = 0 + -7

Combine like terms: 0 + -7 = -7
v = -7

Simplifying
v = -7

Subproblem 2
Set the factor '(8 + 9v)' equal to zero and attempt to solve:

Simplifying
8 + 9v = 0

Solving
8 + 9v = 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 + 9v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9v = 0 + -8
9v = 0 + -8

Combine like terms: 0 + -8 = -8
9v = -8

Divide each side by '9'.
v = -0.8888888889

Simplifying
v = -0.8888888889
Solution
v = {-7, -0.8888888889}

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