-3p^2+17p+20=0

Solution for -3p^2+17p+20=0 equation:

Simplifying
-3p2 + 17p + 20 = 0

Reorder the terms:
20 + 17p + -3p2 = 0

Solving
20 + 17p + -3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(20 + -3p)(1 + p) = 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 '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

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

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

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

Simplifying
p = -1
Solution
p = {6.666666667, -1}