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

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

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

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

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

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

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

Solving
-1 + -1v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -2v)(1 + -1v) = 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 + -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 = {-0.5, 1}