6v(v+1)+60(v+1)=

Solution for 6v(v+1)+60(v+1)= equation:

Simplifying
6v(v + 1) + 60(v + 1) = 0

Reorder the terms:
6v(1 + v) + 60(v + 1) = 0
(1 * 6v + v * 6v) + 60(v + 1) = 0
(6v + 6v2) + 60(v + 1) = 0

Reorder the terms:
6v + 6v2 + 60(1 + v) = 0
6v + 6v2 + (1 * 60 + v * 60) = 0
6v + 6v2 + (60 + 60v) = 0

Reorder the terms:
60 + 6v + 60v + 6v2 = 0

Combine like terms: 6v + 60v = 66v
60 + 66v + 6v2 = 0

Solving
60 + 66v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(10 + 11v + v2) = 0

Factor a trinomial.
6((10 + v)(1 + v)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(10 + v)' equal to zero and attempt to solve:

Simplifying
10 + v = 0

Solving
10 + v = 0

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

Add '-10' to each side of the equation.
10 + -10 + v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + v = 0 + -10
v = 0 + -10

Combine like terms: 0 + -10 = -10
v = -10

Simplifying
v = -10
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 = {-10, -1}