3v^2-4v-15=0

Solution for 3v^2-4v-15=0 equation:

Simplifying
3v2 + -4v + -15 = 0

Reorder the terms:
-15 + -4v + 3v2 = 0

Solving
-15 + -4v + 3v2 = 0

Solving for variable 'v'.

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

Subproblem 1
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
Subproblem 2
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
Solution
v = {-1.666666667, 3}