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

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

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

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

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

Multiply (-6 + v) * (5 + v)
(-6(5 + v) + v(5 + v)) = 0
((5 * -6 + v * -6) + v(5 + v)) = 0
((-30 + -6v) + v(5 + v)) = 0
(-30 + -6v + (5 * v + v * v)) = 0
(-30 + -6v + (5v + v2)) = 0

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

Solving
-30 + -1v + v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-5 + -1v = 0

Solving
-5 + -1v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5
Subproblem 2
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
Solution
v = {-5, 6}