(v+8)(4v+8)=0

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Solution for (v+8)(4v+8)=0 equation: 


Simplifying
(v + 8)(4v + 8) = 0

Reorder the terms:
(8 + v)(4v + 8) = 0

Reorder the terms:
(8 + v)(8 + 4v) = 0

Multiply (8 + v) * (8 + 4v)
(8(8 + 4v) + v(8 + 4v)) = 0
((8 * 8 + 4v * 8) + v(8 + 4v)) = 0
((64 + 32v) + v(8 + 4v)) = 0
(64 + 32v + (8 * v + 4v * v)) = 0
(64 + 32v + (8v + 4v2)) = 0

Combine like terms: 32v + 8v = 40v
(64 + 40v + 4v2) = 0

Solving
64 + 40v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + 10v + v2) = 0

Factor a trinomial.
4((8 + v)(2 + v)) = 0

Ignore the factor 4.

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 '(2 + v)' equal to zero and attempt to solve:

Simplifying
2 + v = 0

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

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

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

Simplifying
v = -2
Solution
v = {-8, -2}

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