9p^2+91p+10=

Solution for 9p^2+91p+10= equation:

Simplifying
9p2 + 91p + 10 = 0

Reorder the terms:
10 + 91p + 9p2 = 0

Solving
10 + 91p + 9p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

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

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

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

Simplifying
p = -10
Subproblem 2
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
Solution
p = {-10, -0.1111111111}