81r+48rs=0

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Solution for 81r+48rs=0 equation: 


Simplifying
81r + 48rs = 0

Solving
81r + 48rs = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), '3r'.
3r(27 + 16s) = 0

Ignore the factor 3.

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 '(27 + 16s)' equal to zero and attempt to solve:

Simplifying
27 + 16s = 0

Solving
27 + 16s = 0

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

Add '-27' to each side of the equation.
27 + -27 + 16s = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 16s = 0 + -27
16s = 0 + -27

Combine like terms: 0 + -27 = -27
16s = -27

Add '-16s' to each side of the equation.
16s + -16s = -27 + -16s

Combine like terms: 16s + -16s = 0
0 = -27 + -16s

Simplifying
0 = -27 + -16s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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