30p^2-1p-20=

Solution for 30p^2-1p-20= equation:

Simplifying
30p2 + -1p + -20 = 0

Reorder the terms:
-20 + -1p + 30p2 = 0

Solving
-20 + -1p + 30p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -5p)(5 + -6p) = 0

Subproblem 1
Set the factor '(-4 + -5p)' equal to zero and attempt to solve:

Simplifying
-4 + -5p = 0

Solving
-4 + -5p = 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 + -5p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5p = 0 + 4
-5p = 0 + 4

Combine like terms: 0 + 4 = 4
-5p = 4

Divide each side by '-5'.
p = -0.8

Simplifying
p = -0.8
Subproblem 2
Set the factor '(5 + -6p)' equal to zero and attempt to solve:

Simplifying
5 + -6p = 0

Solving
5 + -6p = 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 + -6p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6p = 0 + -5
-6p = 0 + -5

Combine like terms: 0 + -5 = -5
-6p = -5

Divide each side by '-6'.
p = 0.8333333333

Simplifying
p = 0.8333333333
Solution
p = {-0.8, 0.8333333333}