(4v-5)(1+v)=0

Solution for (4v-5)(1+v)=0 equation:

Simplifying
(4v + -5)(1 + v) = 0

Reorder the terms:
(-5 + 4v)(1 + v) = 0

Multiply (-5 + 4v) * (1 + v)
(-5(1 + v) + 4v * (1 + v)) = 0
((1 * -5 + v * -5) + 4v * (1 + v)) = 0
((-5 + -5v) + 4v * (1 + v)) = 0
(-5 + -5v + (1 * 4v + v * 4v)) = 0
(-5 + -5v + (4v + 4v2)) = 0

Combine like terms: -5v + 4v = -1v
(-5 + -1v + 4v2) = 0

Solving
-5 + -1v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -1v)(5 + -4v) = 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 + -4v)' equal to zero and attempt to solve:

Simplifying
5 + -4v = 0

Solving
5 + -4v = 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 + -4v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4v = 0 + -5
-4v = 0 + -5

Combine like terms: 0 + -5 = -5
-4v = -5

Divide each side by '-4'.
v = 1.25

Simplifying
v = 1.25
Solution
v = {-1, 1.25}