(v+2)(v-3)=

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

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

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

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

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

Combine like terms: 2v + -3v = -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}