2v^2+23v+56=0

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Solution for 2v^2+23v+56=0 equation: 


Simplifying
2v2 + 23v + 56 = 0

Reorder the terms:
56 + 23v + 2v2 = 0

Solving
56 + 23v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + v)(7 + 2v) = 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 '(7 + 2v)' equal to zero and attempt to solve:

Simplifying
7 + 2v = 0

Solving
7 + 2v = 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 + 2v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2v = 0 + -7
2v = 0 + -7

Combine like terms: 0 + -7 = -7
2v = -7

Divide each side by '2'.
v = -3.5

Simplifying
v = -3.5
Solution
v = {-8, -3.5}

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