6v^2+8v-30=0

Solution for 6v^2+8v-30=0 equation:

Simplifying
6v2 + 8v + -30 = 0

Reorder the terms:
-30 + 8v + 6v2 = 0

Solving
-30 + 8v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 4v + 3v2) = 0

Factor a trinomial.
2((-3 + -1v)(5 + -3v)) = 0

Ignore the factor 2.
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 '(5 + -3v)' equal to zero and attempt to solve:

Simplifying
5 + -3v = 0

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

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

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

Divide each side by '-3'.
v = 1.666666667

Simplifying
v = 1.666666667
Solution
v = {-3, 1.666666667}