(v-3)(v+8)=0

Solution for (v-3)(v+8)=0 equation:

Simplifying
(v + -3)(v + 8) = 0

Reorder the terms:
(-3 + v)(v + 8) = 0

Reorder the terms:
(-3 + v)(8 + v) = 0

Multiply (-3 + v) * (8 + v)
(-3(8 + v) + v(8 + v)) = 0
((8 * -3 + v * -3) + v(8 + v)) = 0
((-24 + -3v) + v(8 + v)) = 0
(-24 + -3v + (8 * v + v * v)) = 0
(-24 + -3v + (8v + v2)) = 0

Combine like terms: -3v + 8v = 5v
(-24 + 5v + v2) = 0

Solving
-24 + 5v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(3 + -1v) = 0

Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8
Subproblem 2
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
Solution
v = {-8, 3}