198q^3r^2-184q^2r^2+18qr^2=0

Solution for 198q^3r^2-184q^2r^2+18qr^2=0 equation:

Simplifying
198q3r2 + -184q2r2 + 18qr2 = 0

Reorder the terms:
18qr2 + -184q2r2 + 198q3r2 = 0

Solving
18qr2 + -184q2r2 + 198q3r2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2qr2'.
2qr2(9 + -92q + 99q2) = 0

Factor a trinomial.
2qr2((1 + -9q)(9 + -11q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'qr2' equal to zero and attempt to solve:

Simplifying
qr2 = 0

Solving
qr2 = 0

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

Simplifying
qr2 = 0

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 '(1 + -9q)' equal to zero and attempt to solve:

Simplifying
1 + -9q = 0

Solving
1 + -9q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9q = 0 + -1
-9q = 0 + -1

Combine like terms: 0 + -1 = -1
-9q = -1

Divide each side by '-9'.
q = 0.1111111111

Simplifying
q = 0.1111111111
Subproblem 3
Set the factor '(9 + -11q)' equal to zero and attempt to solve:

Simplifying
9 + -11q = 0

Solving
9 + -11q = 0

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

Add '-9' to each side of the equation.
9 + -9 + -11q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -11q = 0 + -9
-11q = 0 + -9

Combine like terms: 0 + -9 = -9
-11q = -9

Divide each side by '-11'.
q = 0.8181818182

Simplifying
q = 0.8181818182
Solution
q = {0.1111111111, 0.8181818182}