v^2+8v-4=-4

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Solution for v^2+8v-4=-4 equation: 


Simplifying
v2 + 8v + -4 = -4

Reorder the terms:
-4 + 8v + v2 = -4

Add '4' to each side of the equation.
-4 + 8v + 4 + v2 = -4 + 4

Reorder the terms:
-4 + 4 + 8v + v2 = -4 + 4

Combine like terms: -4 + 4 = 0
0 + 8v + v2 = -4 + 4
8v + v2 = -4 + 4

Combine like terms: -4 + 4 = 0
8v + v2 = 0

Solving
8v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(8 + 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 '(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 = {0, -8}

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