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

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

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

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

Multiply (5 + -1v) * (6 + 5v)
(5(6 + 5v) + -1v * (6 + 5v)) = 0
((6 * 5 + 5v * 5) + -1v * (6 + 5v)) = 0
((30 + 25v) + -1v * (6 + 5v)) = 0
(30 + 25v + (6 * -1v + 5v * -1v)) = 0
(30 + 25v + (-6v + -5v2)) = 0

Combine like terms: 25v + -6v = 19v
(30 + 19v + -5v2) = 0

Solving
30 + 19v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(6 + 5v) = 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 + 5v)' equal to zero and attempt to solve:

Simplifying
6 + 5v = 0

Solving
6 + 5v = 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 + 5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5v = 0 + -6
5v = 0 + -6

Combine like terms: 0 + -6 = -6
5v = -6

Divide each side by '5'.
v = -1.2

Simplifying
v = -1.2
Solution
v = {5, -1.2}