5v^2-6v-30v+36=0

Solution for 5v^2-6v-30v+36=0 equation:

Simplifying
5v2 + -6v + -30v + 36 = 0

Reorder the terms:
36 + -6v + -30v + 5v2 = 0

Combine like terms: -6v + -30v = -36v
36 + -36v + 5v2 = 0

Solving
36 + -36v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 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 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {1.2, 6}