(4v-6)(5+v)=0

Solution for (4v-6)(5+v)=0 equation:

Simplifying
(4v + -6)(5 + v) = 0

Reorder the terms:
(-6 + 4v)(5 + v) = 0

Multiply (-6 + 4v) * (5 + v)
(-6(5 + v) + 4v * (5 + v)) = 0
((5 * -6 + v * -6) + 4v * (5 + v)) = 0
((-30 + -6v) + 4v * (5 + v)) = 0
(-30 + -6v + (5 * 4v + v * 4v)) = 0
(-30 + -6v + (20v + 4v2)) = 0

Combine like terms: -6v + 20v = 14v
(-30 + 14v + 4v2) = 0

Solving
-30 + 14v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 7v + 2v2) = 0

Factor a trinomial.
2((-5 + -1v)(3 + -2v)) = 0

Ignore the factor 2.
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 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

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

Combine like terms: 3 + -3 = 0
0 + -2v = 0 + -3
-2v = 0 + -3

Combine like terms: 0 + -3 = -3
-2v = -3

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Solution
v = {-5, 1.5}