2v^2+11v+10=v^2+4v+4

Solution for 2v^2+11v+10=v^2+4v+4 equation:

Simplifying
2v2 + 11v + 10 = v2 + 4v + 4

Reorder the terms:
10 + 11v + 2v2 = v2 + 4v + 4

Reorder the terms:
10 + 11v + 2v2 = 4 + 4v + v2

Solving
10 + 11v + 2v2 = 4 + 4v + v2

Solving for variable 'v'.

Reorder the terms:
10 + -4 + 11v + -4v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: 10 + -4 = 6
6 + 11v + -4v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: 11v + -4v = 7v
6 + 7v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
6 + 7v + 1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Reorder the terms:
6 + 7v + 1v2 = 4 + -4 + 4v + -4v + v2 + -1v2

Combine like terms: 4 + -4 = 0
6 + 7v + 1v2 = 0 + 4v + -4v + v2 + -1v2
6 + 7v + 1v2 = 4v + -4v + v2 + -1v2

Combine like terms: 4v + -4v = 0
6 + 7v + 1v2 = 0 + v2 + -1v2
6 + 7v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
6 + 7v + 1v2 = 0

Factor a trinomial.
(6 + v)(1 + 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 '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 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 + v = 0 + -1

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

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

Simplifying
v = -1
Solution
v = {-6, -1}