9p^2-200p-20400=0

Solution for 9p^2-200p-20400=0 equation:

Simplifying
9p2 + -200p + -20400 = 0

Reorder the terms:
-20400 + -200p + 9p2 = 0

Solving
-20400 + -200p + 9p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-340 + -9p)(60 + -1p) = 0

Subproblem 1
Set the factor '(-340 + -9p)' equal to zero and attempt to solve:

Simplifying
-340 + -9p = 0

Solving
-340 + -9p = 0

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

Add '340' to each side of the equation.
-340 + 340 + -9p = 0 + 340

Combine like terms: -340 + 340 = 0
0 + -9p = 0 + 340
-9p = 0 + 340

Combine like terms: 0 + 340 = 340
-9p = 340

Divide each side by '-9'.
p = -37.77777778

Simplifying
p = -37.77777778
Subproblem 2
Set the factor '(60 + -1p)' equal to zero and attempt to solve:

Simplifying
60 + -1p = 0

Solving
60 + -1p = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1p = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1p = 0 + -60
-1p = 0 + -60

Combine like terms: 0 + -60 = -60
-1p = -60

Divide each side by '-1'.
p = 60

Simplifying
p = 60
Solution
p = {-37.77777778, 60}