v^2-4v-60=0

Solution for v^2-4v-60=0 equation:

Simplifying
v2 + -4v + -60 = 0

Reorder the terms:
-60 + -4v + v2 = 0

Solving
-60 + -4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -1v)(10 + -1v) = 0

Subproblem 1
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
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 = {-6, 10}