5v^2-27v-18=0

Solution for 5v^2-27v-18=0 equation:

Simplifying
5v2 + -27v + -18 = 0

Reorder the terms:
-18 + -27v + 5v2 = 0

Solving
-18 + -27v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1
Set the factor '(-3 + -5v)' equal to zero and attempt to solve:

Simplifying
-3 + -5v = 0

Solving
-3 + -5v = 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 + -5v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5v = 0 + 3
-5v = 0 + 3

Combine like terms: 0 + 3 = 3
-5v = 3

Divide each side by '-5'.
v = -0.6

Simplifying
v = -0.6
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 = {-0.6, 6}