-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.
(-4 + p)(5 + -3p) = 0

Subproblem 1
Set the factor '(-4 + p)' equal to zero and attempt to solve:

Simplifying
-4 + p = 0

Solving
-4 + p = 0

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

Add '4' to each side of the equation.
-4 + 4 + p = 0 + 4

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

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

Simplifying
p = 4
Subproblem 2
Set the factor '(5 + -3p)' equal to zero and attempt to solve:

Simplifying
5 + -3p = 0

Solving
5 + -3p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3p = 0 + -5
-3p = 0 + -5

Combine like terms: 0 + -5 = -5
-3p = -5

Divide each side by '-3'.
p = 1.666666667

Simplifying
p = 1.666666667
Solution
p = {4, 1.666666667}