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

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

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

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

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

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

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

Solving
-15 + -17v + 4v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
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
Solution
v = {-0.75, 5}