5(v-6)(-v-1)=0

Solution for 5(v-6)(-v-1)=0 equation:

Simplifying
5(v + -6)(-1v + -1) = 0

Reorder the terms:
5(-6 + v)(-1v + -1) = 0

Reorder the terms:
5(-6 + v)(-1 + -1v) = 0

Multiply (-6 + v) * (-1 + -1v)
5(-6(-1 + -1v) + v(-1 + -1v)) = 0
5((-1 * -6 + -1v * -6) + v(-1 + -1v)) = 0
5((6 + 6v) + v(-1 + -1v)) = 0
5(6 + 6v + (-1 * v + -1v * v)) = 0
5(6 + 6v + (-1v + -1v2)) = 0

Combine like terms: 6v + -1v = 5v
5(6 + 5v + -1v2) = 0
(6 * 5 + 5v * 5 + -1v2 * 5) = 0
(30 + 25v + -5v2) = 0

Solving
30 + 25v + -5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 5v + -1v2) = 0

Factor a trinomial.
5((6 + -1v)(1 + v)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 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 + -1v = 0 + -6

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

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

Divide each side by '-1'.
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}