(v-5)(v+3)=

Solution for (v-5)(v+3)= equation:

Simplifying
(v + -5)(v + 3) = 0

Reorder the terms:
(-5 + v)(v + 3) = 0

Reorder the terms:
(-5 + v)(3 + v) = 0

Multiply (-5 + v) * (3 + v)
(-5(3 + v) + v(3 + v)) = 0
((3 * -5 + v * -5) + v(3 + v)) = 0
((-15 + -5v) + v(3 + v)) = 0
(-15 + -5v + (3 * v + v * v)) = 0
(-15 + -5v + (3v + v2)) = 0

Combine like terms: -5v + 3v = -2v
(-15 + -2v + v2) = 0

Solving
-15 + -2v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(5 + -1v) = 0

Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3
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 = {-3, 5}