9p^2+30p+9=0

Solution for 9p^2+30p+9=0 equation:

Simplifying
9p2 + 30p + 9 = 0

Reorder the terms:
9 + 30p + 9p2 = 0

Solving
9 + 30p + 9p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 10p + 3p2) = 0

Factor a trinomial.
3((3 + p)(1 + 3p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

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

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve:

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3p = 0 + -1
3p = 0 + -1

Combine like terms: 0 + -1 = -1
3p = -1

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {-3, -0.3333333333}