-2v^2-v-1=-2

Solution for -2v^2-v-1=-2 equation:

Simplifying
-2v2 + -1v + -1 = -2

Reorder the terms:
-1 + -1v + -2v2 = -2

Solving
-1 + -1v + -2v2 = -2

Solving for variable 'v'.

Reorder the terms:
-1 + 2 + -1v + -2v2 = -2 + 2

Combine like terms: -1 + 2 = 1
1 + -1v + -2v2 = -2 + 2

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

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

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

Simplifying
1 + -2v = 0

Solving
1 + -2v = 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 + -2v = 0 + -1

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

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

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 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 + v = 0 + -1

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

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

Simplifying
v = -1
Solution
v = {0.5, -1}