p^2+9p-90=0

Solution for p^2+9p-90=0 equation:

Simplifying
p2 + 9p + -90 = 0

Reorder the terms:
-90 + 9p + p2 = 0

Solving
-90 + 9p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-15 + -1p)(6 + -1p) = 0

Subproblem 1
Set the factor '(-15 + -1p)' equal to zero and attempt to solve:

Simplifying
-15 + -1p = 0

Solving
-15 + -1p = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1p = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1p = 0 + 15
-1p = 0 + 15

Combine like terms: 0 + 15 = 15
-1p = 15

Divide each side by '-1'.
p = -15

Simplifying
p = -15
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-15, 6}