9p^2+9p=-6

Solution for 9p^2+9p=-6 equation:

Simplifying
9p2 + 9p = -6

Reorder the terms:
9p + 9p2 = -6

Solving
9p + 9p2 = -6

Solving for variable 'p'.

Reorder the terms:
6 + 9p + 9p2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 9p + 9p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 3p + 3p2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + 3p + 3p2)' equal to zero and attempt to solve:

Simplifying
2 + 3p + 3p2 = 0

Solving
2 + 3p + 3p2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
0.6666666667 + p + p2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + p + -0.6666666667 + p2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + p + p2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + p + p2 = 0 + -0.6666666667
p + p2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
p + p2 = -0.6666666667

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + p2 = -0.6666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + p2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
1.25 + p2 = -0.4166666667

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.4166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.