-9p=5p^2-2

Solution for -9p=5p^2-2 equation:

Simplifying
-9p = 5p2 + -2

Reorder the terms:
-9p = -2 + 5p2

Solving
-9p = -2 + 5p2

Solving for variable 'p'.

Reorder the terms:
2 + -9p + -5p2 = -2 + 5p2 + 2 + -5p2

Reorder the terms:
2 + -9p + -5p2 = -2 + 2 + 5p2 + -5p2

Combine like terms: -2 + 2 = 0
2 + -9p + -5p2 = 0 + 5p2 + -5p2
2 + -9p + -5p2 = 5p2 + -5p2

Combine like terms: 5p2 + -5p2 = 0
2 + -9p + -5p2 = 0

Factor a trinomial.
(1 + -5p)(2 + p) = 0

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

Simplifying
1 + -5p = 0

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

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

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

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

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

Add '-2' to each side of the equation.
2 + -2 + p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p = 0 + -2
p = 0 + -2

Combine like terms: 0 + -2 = -2
p = -2

Simplifying
p = -2
Solution
p = {0.2, -2}