(v-5)(v+6)=

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

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

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

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

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

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

Solving
-30 + 1v + v2 = 0

Solving for variable 'v'.

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

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 '(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
Solution
v = {-6, 5}