v^2+13v+29=v-7

Solution for v^2+13v+29=v-7 equation:

Simplifying
v2 + 13v + 29 = v + -7

Reorder the terms:
29 + 13v + v2 = v + -7

Reorder the terms:
29 + 13v + v2 = -7 + v

Solving
29 + 13v + v2 = -7 + v

Solving for variable 'v'.

Reorder the terms:
29 + 7 + 13v + -1v + v2 = -7 + v + 7 + -1v

Combine like terms: 29 + 7 = 36
36 + 13v + -1v + v2 = -7 + v + 7 + -1v

Combine like terms: 13v + -1v = 12v
36 + 12v + v2 = -7 + v + 7 + -1v

Reorder the terms:
36 + 12v + v2 = -7 + 7 + v + -1v

Combine like terms: -7 + 7 = 0
36 + 12v + v2 = 0 + v + -1v
36 + 12v + v2 = v + -1v

Combine like terms: v + -1v = 0
36 + 12v + v2 = 0

Factor a trinomial.
(6 + v)(6 + v) = 0

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

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

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

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

Simplifying
v = -6
Subproblem 2
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

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

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

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

Simplifying
v = -6
Solution
v = {-6, -6}