(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.
(-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}