(1+v)(2v-5)=0

Solution for (1+v)(2v-5)=0 equation:

Simplifying
(1 + v)(2v + -5) = 0

Reorder the terms:
(1 + v)(-5 + 2v) = 0

Multiply (1 + v) * (-5 + 2v)
(1(-5 + 2v) + v(-5 + 2v)) = 0
((-5 * 1 + 2v * 1) + v(-5 + 2v)) = 0
((-5 + 2v) + v(-5 + 2v)) = 0
(-5 + 2v + (-5 * v + 2v * v)) = 0
(-5 + 2v + (-5v + 2v2)) = 0

Combine like terms: 2v + -5v = -3v
(-5 + -3v + 2v2) = 0

Solving
-5 + -3v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -1v)(5 + -2v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -2v)' equal to zero and attempt to solve:

Simplifying
5 + -2v = 0

Solving
5 + -2v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2v = 0 + -5
-2v = 0 + -5

Combine like terms: 0 + -5 = -5
-2v = -5

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {-1, 2.5}