(v-1)(v+2)=

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

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

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

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

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

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