8v^2+32v+34=2

Solution for 8v^2+32v+34=2 equation:

Simplifying
8v2 + 32v + 34 = 2

Reorder the terms:
34 + 32v + 8v2 = 2

Solving
34 + 32v + 8v2 = 2

Solving for variable 'v'.

Reorder the terms:
34 + -2 + 32v + 8v2 = 2 + -2

Combine like terms: 34 + -2 = 32
32 + 32v + 8v2 = 2 + -2

Combine like terms: 2 + -2 = 0
32 + 32v + 8v2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + 4v + v2) = 0

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

Ignore the factor 8.
Subproblem 1
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
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 = {-2, -2}