9p^2+4p-4=0

Solution for 9p^2+4p-4=0 equation:

Simplifying
9p2 + 4p + -4 = 0

Reorder the terms:
-4 + 4p + 9p2 = 0

Solving
-4 + 4p + 9p2 = 0

Solving for variable 'p'.

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

Divide each side by '9'.
-0.4444444444 + 0.4444444444p + p2 = 0

Move the constant term to the right:

Add '0.4444444444' to each side of the equation.
-0.4444444444 + 0.4444444444p + 0.4444444444 + p2 = 0 + 0.4444444444

Reorder the terms:
-0.4444444444 + 0.4444444444 + 0.4444444444p + p2 = 0 + 0.4444444444

Combine like terms: -0.4444444444 + 0.4444444444 = 0.0000000000
0.0000000000 + 0.4444444444p + p2 = 0 + 0.4444444444
0.4444444444p + p2 = 0 + 0.4444444444

Combine like terms: 0 + 0.4444444444 = 0.4444444444
0.4444444444p + p2 = 0.4444444444

The p term is 0.4444444444p.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444p + 0.04938271604 + p2 = 0.4444444444 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444p + p2 = 0.4444444444 + 0.04938271604

Combine like terms: 0.4444444444 + 0.04938271604 = 0.49382716044
0.04938271604 + 0.4444444444p + p2 = 0.49382716044

Factor a perfect square on the left side:
(p + 0.2222222222)(p + 0.2222222222) = 0.49382716044

Calculate the square root of the right side: 0.702728369

Break this problem into two subproblems by setting 
(p + 0.2222222222) equal to 0.702728369 and -0.702728369.

Subproblem 1
p + 0.2222222222 = 0.702728369

Simplifying
p + 0.2222222222 = 0.702728369

Reorder the terms:
0.2222222222 + p = 0.702728369

Solving
0.2222222222 + p = 0.702728369

Solving for variable 'p'.

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

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.2222222222 + p = 0.702728369 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + p = 0.702728369 + -0.2222222222
p = 0.702728369 + -0.2222222222

Combine like terms: 0.702728369 + -0.2222222222 = 0.4805061468
p = 0.4805061468

Simplifying
p = 0.4805061468

Subproblem 2
p + 0.2222222222 = -0.702728369

Simplifying
p + 0.2222222222 = -0.702728369

Reorder the terms:
0.2222222222 + p = -0.702728369

Solving
0.2222222222 + p = -0.702728369

Solving for variable 'p'.

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

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.2222222222 + p = -0.702728369 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + p = -0.702728369 + -0.2222222222
p = -0.702728369 + -0.2222222222

Combine like terms: -0.702728369 + -0.2222222222 = -0.9249505912
p = -0.9249505912

Simplifying
p = -0.9249505912

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {0.4805061468, -0.9249505912}