2v^2+6=8v

Solution for 2v^2+6=8v equation:

Simplifying
2v2 + 6 = 8v

Reorder the terms:
6 + 2v2 = 8v

Solving
6 + 2v2 = 8v

Solving for variable 'v'.

Reorder the terms:
6 + -8v + 2v2 = 8v + -8v

Combine like terms: 8v + -8v = 0
6 + -8v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -4v + v2) = 0

Factor a trinomial.
2((1 + -1v)(3 + -1v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1v = 0 + -1
-1v = 0 + -1

Combine like terms: 0 + -1 = -1
-1v = -1

Divide each side by '-1'.
v = 1

Simplifying
v = 1
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {1, 3}