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

Solution for (3+v)(5v-6)=0 equation:

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

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

Multiply (3 + v) * (-6 + 5v)
(3(-6 + 5v) + v(-6 + 5v)) = 0
((-6 * 3 + 5v * 3) + v(-6 + 5v)) = 0
((-18 + 15v) + v(-6 + 5v)) = 0
(-18 + 15v + (-6 * v + 5v * v)) = 0
(-18 + 15v + (-6v + 5v2)) = 0

Combine like terms: 15v + -6v = 9v
(-18 + 9v + 5v2) = 0

Solving
-18 + 9v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(6 + -5v) = 0

Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 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 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3
Subproblem 2
Set the factor '(6 + -5v)' equal to zero and attempt to solve:

Simplifying
6 + -5v = 0

Solving
6 + -5v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5v = 0 + -6
-5v = 0 + -6

Combine like terms: 0 + -6 = -6
-5v = -6

Divide each side by '-5'.
v = 1.2

Simplifying
v = 1.2
Solution
v = {-3, 1.2}