(v-4)(v+3)=0

Solution for (v-4)(v+3)=0 equation:

Simplifying
(v + -4)(v + 3) = 0

Reorder the terms:
(-4 + v)(v + 3) = 0

Reorder the terms:
(-4 + v)(3 + v) = 0

Multiply (-4 + v) * (3 + v)
(-4(3 + v) + v(3 + v)) = 0
((3 * -4 + v * -4) + v(3 + v)) = 0
((-12 + -4v) + v(3 + v)) = 0
(-12 + -4v + (3 * v + v * v)) = 0
(-12 + -4v + (3v + v2)) = 0

Combine like terms: -4v + 3v = -1v
(-12 + -1v + v2) = 0

Solving
-12 + -1v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(4 + -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 '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4
Solution
v = {-3, 4}