(4v-3)(v+5)=0

Solution for (4v-3)(v+5)=0 equation:

Simplifying
(4v + -3)(v + 5) = 0

Reorder the terms:
(-3 + 4v)(v + 5) = 0

Reorder the terms:
(-3 + 4v)(5 + v) = 0

Multiply (-3 + 4v) * (5 + v)
(-3(5 + v) + 4v * (5 + v)) = 0
((5 * -3 + v * -3) + 4v * (5 + v)) = 0
((-15 + -3v) + 4v * (5 + v)) = 0
(-15 + -3v + (5 * 4v + v * 4v)) = 0
(-15 + -3v + (20v + 4v2)) = 0

Combine like terms: -3v + 20v = 17v
(-15 + 17v + 4v2) = 0

Solving
-15 + 17v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(3 + -4v) = 0

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

Simplifying
-5 + -1v = 0

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

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5
Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve:

Simplifying
3 + -4v = 0

Solving
3 + -4v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4v = 0 + -3
-4v = 0 + -3

Combine like terms: 0 + -3 = -3
-4v = -3

Divide each side by '-4'.
v = 0.75

Simplifying
v = 0.75
Solution
v = {-5, 0.75}