(v+2)(v-1)=0

Solution for (v+2)(v-1)=0 equation:

Simplifying
(v + 2)(v + -1) = 0

Reorder the terms:
(2 + v)(v + -1) = 0

Reorder the terms:
(2 + v)(-1 + v) = 0

Multiply (2 + v) * (-1 + v)
(2(-1 + v) + v(-1 + v)) = 0
((-1 * 2 + v * 2) + v(-1 + v)) = 0
((-2 + 2v) + v(-1 + v)) = 0
(-2 + 2v + (-1 * v + v * v)) = 0
(-2 + 2v + (-1v + v2)) = 0

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

Solving
-2 + 1v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(1 + -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 '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Solution
v = {-2, 1}