3v^2-27v-30=

Solution for 3v^2-27v-30= equation:

Simplifying
3v2 + -27v + -30 = 0

Reorder the terms:
-30 + -27v + 3v2 = 0

Solving
-30 + -27v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + -9v + v2) = 0

Factor a trinomial.
3((-1 + -1v)(10 + -1v)) = 0

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

Simplifying
-1 + -1v = 0

Solving
-1 + -1v = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1v = 0 + 1

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

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

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

Simplifying
v = -1
Subproblem 2
Set the factor '(10 + -1v)' equal to zero and attempt to solve:

Simplifying
10 + -1v = 0

Solving
10 + -1v = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1v = 0 + -10
-1v = 0 + -10

Combine like terms: 0 + -10 = -10
-1v = -10

Divide each side by '-1'.
v = 10

Simplifying
v = 10
Solution
v = {-1, 10}