90p^2+p-1=0

Solution for 90p^2+p-1=0 equation:

Simplifying
90p2 + p + -1 = 0

Reorder the terms:
-1 + p + 90p2 = 0

Solving
-1 + p + 90p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -9p)(1 + -10p) = 0

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

Simplifying
-1 + -9p = 0

Solving
-1 + -9p = 0

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

Add '1' to each side of the equation.
-1 + 1 + -9p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9p = 0 + 1
-9p = 0 + 1

Combine like terms: 0 + 1 = 1
-9p = 1

Divide each side by '-9'.
p = -0.1111111111

Simplifying
p = -0.1111111111
Subproblem 2
Set the factor '(1 + -10p)' equal to zero and attempt to solve:

Simplifying
1 + -10p = 0

Solving
1 + -10p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10p = 0 + -1
-10p = 0 + -1

Combine like terms: 0 + -1 = -1
-10p = -1

Divide each side by '-10'.
p = 0.1

Simplifying
p = 0.1
Solution
p = {-0.1111111111, 0.1}