2v^2+9v+13=(v+1)

Solution for 2v^2+9v+13=(v+1) equation:

Simplifying
2v2 + 9v + 13 = (v + 1)

Reorder the terms:
13 + 9v + 2v2 = (v + 1)

Reorder the terms:
13 + 9v + 2v2 = (1 + v)

Remove parenthesis around (1 + v)
13 + 9v + 2v2 = 1 + v

Solving
13 + 9v + 2v2 = 1 + v

Solving for variable 'v'.

Reorder the terms:
13 + -1 + 9v + -1v + 2v2 = 1 + v + -1 + -1v

Combine like terms: 13 + -1 = 12
12 + 9v + -1v + 2v2 = 1 + v + -1 + -1v

Combine like terms: 9v + -1v = 8v
12 + 8v + 2v2 = 1 + v + -1 + -1v

Reorder the terms:
12 + 8v + 2v2 = 1 + -1 + v + -1v

Combine like terms: 1 + -1 = 0
12 + 8v + 2v2 = 0 + v + -1v
12 + 8v + 2v2 = v + -1v

Combine like terms: v + -1v = 0
12 + 8v + 2v2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 4v + v2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 4v + v2)' equal to zero and attempt to solve:

Simplifying
6 + 4v + v2 = 0

Solving
6 + 4v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4v + -6 + v2 = 0 + -6

Reorder the terms:
6 + -6 + 4v + v2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4v + v2 = 0 + -6
4v + v2 = 0 + -6

Combine like terms: 0 + -6 = -6
4v + v2 = -6

The v term is 4v.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4v + 4 + v2 = -6 + 4

Reorder the terms:
4 + 4v + v2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + 4v + v2 = -2

Factor a perfect square on the left side:
(v + 2)(v + 2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.