-79000000r^2+24000000r+11500000=0

Solution for -79000000r^2+24000000r+11500000=0 equation:

Simplifying
-79000000r2 + 24000000r + 11500000 = 0

Reorder the terms:
11500000 + 24000000r + -79000000r2 = 0

Solving
11500000 + 24000000r + -79000000r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '500000'.
500000(23 + 48r + -158r2) = 0

Ignore the factor 500000.
Subproblem 1
Set the factor '(23 + 48r + -158r2)' equal to zero and attempt to solve:

Simplifying
23 + 48r + -158r2 = 0

Solving
23 + 48r + -158r2 = 0

Begin completing the square.  Divide all terms by
-158 the coefficient of the squared term: 

Divide each side by '-158'.
-0.1455696203 + -0.3037974684r + r2 = 0

Move the constant term to the right:

Add '0.1455696203' to each side of the equation.
-0.1455696203 + -0.3037974684r + 0.1455696203 + r2 = 0 + 0.1455696203

Reorder the terms:
-0.1455696203 + 0.1455696203 + -0.3037974684r + r2 = 0 + 0.1455696203

Combine like terms: -0.1455696203 + 0.1455696203 = 0.0000000000
0.0000000000 + -0.3037974684r + r2 = 0 + 0.1455696203
-0.3037974684r + r2 = 0 + 0.1455696203

Combine like terms: 0 + 0.1455696203 = 0.1455696203
-0.3037974684r + r2 = 0.1455696203

The r term is -0.3037974684r.  Take half its coefficient (-0.1518987342).
Square it (0.02307322545) and add it to both sides.

Add '0.02307322545' to each side of the equation.
-0.3037974684r + 0.02307322545 + r2 = 0.1455696203 + 0.02307322545

Reorder the terms:
0.02307322545 + -0.3037974684r + r2 = 0.1455696203 + 0.02307322545

Combine like terms: 0.1455696203 + 0.02307322545 = 0.16864284575
0.02307322545 + -0.3037974684r + r2 = 0.16864284575

Factor a perfect square on the left side:
(r + -0.1518987342)(r + -0.1518987342) = 0.16864284575

Calculate the square root of the right side: 0.410661473

Break this problem into two subproblems by setting 
(r + -0.1518987342) equal to 0.410661473 and -0.410661473.

Subproblem 1
r + -0.1518987342 = 0.410661473

Simplifying
r + -0.1518987342 = 0.410661473

Reorder the terms:
-0.1518987342 + r = 0.410661473

Solving
-0.1518987342 + r = 0.410661473

Solving for variable 'r'.

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

Add '0.1518987342' to each side of the equation.
-0.1518987342 + 0.1518987342 + r = 0.410661473 + 0.1518987342

Combine like terms: -0.1518987342 + 0.1518987342 = 0.0000000000
0.0000000000 + r = 0.410661473 + 0.1518987342
r = 0.410661473 + 0.1518987342

Combine like terms: 0.410661473 + 0.1518987342 = 0.5625602072
r = 0.5625602072

Simplifying
r = 0.5625602072

Subproblem 2
r + -0.1518987342 = -0.410661473

Simplifying
r + -0.1518987342 = -0.410661473

Reorder the terms:
-0.1518987342 + r = -0.410661473

Solving
-0.1518987342 + r = -0.410661473

Solving for variable 'r'.

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

Add '0.1518987342' to each side of the equation.
-0.1518987342 + 0.1518987342 + r = -0.410661473 + 0.1518987342

Combine like terms: -0.1518987342 + 0.1518987342 = 0.0000000000
0.0000000000 + r = -0.410661473 + 0.1518987342
r = -0.410661473 + 0.1518987342

Combine like terms: -0.410661473 + 0.1518987342 = -0.2587627388
r = -0.2587627388

Simplifying
r = -0.2587627388

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {0.5625602072, -0.2587627388}
Solution
r = {0.5625602072, -0.2587627388}