9p+1=10p^2

Solution for 9p+1=10p^2 equation:

Simplifying
9p + 1 = 10p2

Reorder the terms:
1 + 9p = 10p2

Solving
1 + 9p = 10p2

Solving for variable 'p'.

Combine like terms: 10p2 + -10p2 = 0
1 + 9p + -10p2 = 0

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

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

Simplifying
1 + -1p = 0

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

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

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

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

Simplifying
p = 1
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 = {1, -0.1}