(v-3)(v+2)=

Solution for (v-3)(v+2)= equation:

Simplifying
(v + -3)(v + 2) = 0

Reorder the terms:
(-3 + v)(v + 2) = 0

Reorder the terms:
(-3 + v)(2 + v) = 0

Multiply (-3 + v) * (2 + v)
(-3(2 + v) + v(2 + v)) = 0
((2 * -3 + v * -3) + v(2 + v)) = 0
((-6 + -3v) + v(2 + v)) = 0
(-6 + -3v + (2 * v + v * v)) = 0
(-6 + -3v + (2v + v2)) = 0

Combine like terms: -3v + 2v = -1v
(-6 + -1v + v2) = 0

Solving
-6 + -1v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(3 + -1v) = 0

Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve:

Simplifying
-2 + -1v = 0

Solving
-2 + -1v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1v = 0 + 2
-1v = 0 + 2

Combine like terms: 0 + 2 = 2
-1v = 2

Divide each side by '-1'.
v = -2

Simplifying
v = -2
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 = {-2, 3}