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

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

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

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

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

Combine like terms: 20v + -6v = 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}