v^2+5v+8=8

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Solution for v^2+5v+8=8 equation: 


Simplifying
v2 + 5v + 8 = 8

Reorder the terms:
8 + 5v + v2 = 8

Add '-8' to each side of the equation.
8 + 5v + -8 + v2 = 8 + -8

Reorder the terms:
8 + -8 + 5v + v2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 5v + v2 = 8 + -8
5v + v2 = 8 + -8

Combine like terms: 8 + -8 = 0
5v + v2 = 0

Solving
5v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(5 + v) = 0


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {0, -5}

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