6p^2+2p-60=0

Solution for 6p^2+2p-60=0 equation:

Simplifying
6p2 + 2p + -60 = 0

Reorder the terms:
-60 + 2p + 6p2 = 0

Solving
-60 + 2p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + p + 3p2) = 0

Factor a trinomial.
2((-10 + -3p)(3 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-10 + -3p)' equal to zero and attempt to solve:

Simplifying
-10 + -3p = 0

Solving
-10 + -3p = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3p = 0 + 10
-3p = 0 + 10

Combine like terms: 0 + 10 = 10
-3p = 10

Divide each side by '-3'.
p = -3.333333333

Simplifying
p = -3.333333333
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {-3.333333333, 3}