9r(r+2s-9)=

Solution for 9r(r+2s-9)= equation:

Simplifying
9r(r + 2s + -9) = 0

Reorder the terms:
9r(-9 + r + 2s) = 0
(-9 * 9r + r * 9r + 2s * 9r) = 0

Reorder the terms:
(-81r + 18rs + 9r2) = 0
(-81r + 18rs + 9r2) = 0

Solving
-81r + 18rs + 9r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '9r'.
9r(-9 + 2s + r) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-9 + 2s + r)' equal to zero and attempt to solve:

Simplifying
-9 + 2s + r = 0

Reorder the terms:
-9 + r + 2s = 0

Solving
-9 + r + 2s = 0

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

Add '9' to each side of the equation.
-9 + r + 9 + 2s = 0 + 9

Reorder the terms:
-9 + 9 + r + 2s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + r + 2s = 0 + 9
r + 2s = 0 + 9

Combine like terms: 0 + 9 = 9
r + 2s = 9

Add '-2s' to each side of the equation.
r + 2s + -2s = 9 + -2s

Combine like terms: 2s + -2s = 0
r + 0 = 9 + -2s
r = 9 + -2s

Simplifying
r = 9 + -2s
Solution
r = {0, 9 + -2s}