-12p^2+71p+60=0

Solution for -12p^2+71p+60=0 equation:

Simplifying
-12p2 + 71p + 60 = 0

Reorder the terms:
60 + 71p + -12p2 = 0

Solving
60 + 71p + -12p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(20 + -3p)(3 + 4p) = 0

Subproblem 1
Set the factor '(20 + -3p)' equal to zero and attempt to solve:

Simplifying
20 + -3p = 0

Solving
20 + -3p = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3p = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3p = 0 + -20
-3p = 0 + -20

Combine like terms: 0 + -20 = -20
-3p = -20

Divide each side by '-3'.
p = 6.666666667

Simplifying
p = 6.666666667
Subproblem 2
Set the factor '(3 + 4p)' equal to zero and attempt to solve:

Simplifying
3 + 4p = 0

Solving
3 + 4p = 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 + 4p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4p = 0 + -3
4p = 0 + -3

Combine like terms: 0 + -3 = -3
4p = -3

Divide each side by '4'.
p = -0.75

Simplifying
p = -0.75
Solution
p = {6.666666667, -0.75}