9p^2r-73pr-70r=0

Solution for 9p^2r-73pr-70r=0 equation:

Simplifying
9p2r + -73pr + -70r = 0

Reorder the terms:
-73pr + 9p2r + -70r = 0

Solving
-73pr + 9p2r + -70r = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-73p + 9p2 + -70) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Add '-1r' to each side of the equation.
r + -1r = 0 + -1r
Remove the zero:
0 = -1r

Simplifying
0 = -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-73p + 9p2 + -70)' equal to zero and attempt to solve:

Simplifying
-73p + 9p2 + -70 = 0

Reorder the terms:
-70 + -73p + 9p2 = 0

Solving
-70 + -73p + 9p2 = 0

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

Divide each side by '9'.
-7.777777778 + -8.111111111p + p2 = 0

Move the constant term to the right:

Add '7.777777778' to each side of the equation.
-7.777777778 + -8.111111111p + 7.777777778 + p2 = 0 + 7.777777778

Reorder the terms:
-7.777777778 + 7.777777778 + -8.111111111p + p2 = 0 + 7.777777778

Combine like terms: -7.777777778 + 7.777777778 = 0.000000000
0.000000000 + -8.111111111p + p2 = 0 + 7.777777778
-8.111111111p + p2 = 0 + 7.777777778

Combine like terms: 0 + 7.777777778 = 7.777777778
-8.111111111p + p2 = 7.777777778

The p term is -8.111111111p.  Take half its coefficient (-4.055555556).
Square it (16.44753087) and add it to both sides.

Add '16.44753087' to each side of the equation.
-8.111111111p + 16.44753087 + p2 = 7.777777778 + 16.44753087

Reorder the terms:
16.44753087 + -8.111111111p + p2 = 7.777777778 + 16.44753087

Combine like terms: 7.777777778 + 16.44753087 = 24.225308648
16.44753087 + -8.111111111p + p2 = 24.225308648

Factor a perfect square on the left side:
(p + -4.055555556)(p + -4.055555556) = 24.225308648

Calculate the square root of the right side: 4.921921235

Break this problem into two subproblems by setting 
(p + -4.055555556) equal to 4.921921235 and -4.921921235.

Subproblem 1
p + -4.055555556 = 4.921921235

Simplifying
p + -4.055555556 = 4.921921235

Reorder the terms:
-4.055555556 + p = 4.921921235

Solving
-4.055555556 + p = 4.921921235

Solving for variable 'p'.

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

Add '4.055555556' to each side of the equation.
-4.055555556 + 4.055555556 + p = 4.921921235 + 4.055555556

Combine like terms: -4.055555556 + 4.055555556 = 0.000000000
0.000000000 + p = 4.921921235 + 4.055555556
p = 4.921921235 + 4.055555556

Combine like terms: 4.921921235 + 4.055555556 = 8.977476791
p = 8.977476791

Simplifying
p = 8.977476791

Subproblem 2
p + -4.055555556 = -4.921921235

Simplifying
p + -4.055555556 = -4.921921235

Reorder the terms:
-4.055555556 + p = -4.921921235

Solving
-4.055555556 + p = -4.921921235

Solving for variable 'p'.

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

Add '4.055555556' to each side of the equation.
-4.055555556 + 4.055555556 + p = -4.921921235 + 4.055555556

Combine like terms: -4.055555556 + 4.055555556 = 0.000000000
0.000000000 + p = -4.921921235 + 4.055555556
p = -4.921921235 + 4.055555556

Combine like terms: -4.921921235 + 4.055555556 = -0.866365679
p = -0.866365679

Simplifying
p = -0.866365679

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {8.977476791, -0.866365679}
Solution
p = {8.977476791, -0.866365679}