0=56-v^2-v

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Solution for 0=56-v^2-v equation: 


Simplifying
0 = 56 + -1v2 + -1v

Reorder the terms:
0 = 56 + -1v + -1v2

Solving
0 = 56 + -1v + -1v2

Solving for variable 'v'.

Combine like terms: 0 + -56 = -56
-56 + v + v2 = 56 + -1v + -1v2 + -56 + v + v2

Reorder the terms:
-56 + v + v2 = 56 + -56 + -1v + v + -1v2 + v2

Combine like terms: 56 + -56 = 0
-56 + v + v2 = 0 + -1v + v + -1v2 + v2
-56 + v + v2 = -1v + v + -1v2 + v2

Combine like terms: -1v + v = 0
-56 + v + v2 = 0 + -1v2 + v2
-56 + v + v2 = -1v2 + v2

Combine like terms: -1v2 + v2 = 0
-56 + v + v2 = 0

Factor a trinomial.
(-8 + -1v)(7 + -1v) = 0


Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 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 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 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 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {-8, 7}

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