0=v^2+16v+64

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Solution for 0=v^2+16v+64 equation: 


Simplifying
0 = v2 + 16v + 64

Reorder the terms:
0 = 64 + 16v + v2

Solving
0 = 64 + 16v + v2

Solving for variable 'v'.

Combine like terms: 0 + -64 = -64
-64 + -16v + -1v2 = 64 + 16v + v2 + -64 + -16v + -1v2

Reorder the terms:
-64 + -16v + -1v2 = 64 + -64 + 16v + -16v + v2 + -1v2

Combine like terms: 64 + -64 = 0
-64 + -16v + -1v2 = 0 + 16v + -16v + v2 + -1v2
-64 + -16v + -1v2 = 16v + -16v + v2 + -1v2

Combine like terms: 16v + -16v = 0
-64 + -16v + -1v2 = 0 + v2 + -1v2
-64 + -16v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-64 + -16v + -1v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(64 + 16v + v2) = 0

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

Ignore the factor -1.

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 '(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
Solution
v = {-8, -8}

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