(v+3)(v-12)=0

Solution for (v+3)(v-12)=0 equation:

Simplifying
(v + 3)(v + -12) = 0

Reorder the terms:
(3 + v)(v + -12) = 0

Reorder the terms:
(3 + v)(-12 + v) = 0

Multiply (3 + v) * (-12 + v)
(3(-12 + v) + v(-12 + v)) = 0
((-12 * 3 + v * 3) + v(-12 + v)) = 0
((-36 + 3v) + v(-12 + v)) = 0
(-36 + 3v + (-12 * v + v * v)) = 0
(-36 + 3v + (-12v + v2)) = 0

Combine like terms: 3v + -12v = -9v
(-36 + -9v + v2) = 0

Solving
-36 + -9v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(12 + -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 '(12 + -1v)' equal to zero and attempt to solve:

Simplifying
12 + -1v = 0

Solving
12 + -1v = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1v = 0 + -12
-1v = 0 + -12

Combine like terms: 0 + -12 = -12
-1v = -12

Divide each side by '-1'.
v = 12

Simplifying
v = 12
Solution
v = {-3, 12}