-v^2-8v+20=0

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Solution for -v^2-8v+20=0 equation: 


Simplifying
-1v2 + -8v + 20 = 0

Reorder the terms:
20 + -8v + -1v2 = 0

Solving
20 + -8v + -1v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(10 + v) = 0


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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2

Subproblem 2
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
Solution
v = {2, -10}

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