11p^2-10p-225=0

Solution for 11p^2-10p-225=0 equation:

Simplifying
11p2 + -10p + -225 = 0

Reorder the terms:
-225 + -10p + 11p2 = 0

Solving
-225 + -10p + 11p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-45 + -11p)(5 + -1p) = 0

Subproblem 1
Set the factor '(-45 + -11p)' equal to zero and attempt to solve:

Simplifying
-45 + -11p = 0

Solving
-45 + -11p = 0

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

Add '45' to each side of the equation.
-45 + 45 + -11p = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -11p = 0 + 45
-11p = 0 + 45

Combine like terms: 0 + 45 = 45
-11p = 45

Divide each side by '-11'.
p = -4.090909091

Simplifying
p = -4.090909091
Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve:

Simplifying
5 + -1p = 0

Solving
5 + -1p = 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 + -1p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p = 0 + -5
-1p = 0 + -5

Combine like terms: 0 + -5 = -5
-1p = -5

Divide each side by '-1'.
p = 5

Simplifying
p = 5
Solution
p = {-4.090909091, 5}