6r^2s+11rs^2+3r^2s-7rs^2+15r^2s-9rs^2=

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Solution for 6r^2s+11rs^2+3r^2s-7rs^2+15r^2s-9rs^2= equation: 


Simplifying
6r2s + 11rs2 + 3r2s + -7rs2 + 15r2s + -9rs2 = 0

Reorder the terms:
11rs2 + -7rs2 + -9rs2 + 6r2s + 3r2s + 15r2s = 0

Combine like terms: 11rs2 + -7rs2 = 4rs2
4rs2 + -9rs2 + 6r2s + 3r2s + 15r2s = 0

Combine like terms: 4rs2 + -9rs2 = -5rs2
-5rs2 + 6r2s + 3r2s + 15r2s = 0

Combine like terms: 6r2s + 3r2s = 9r2s
-5rs2 + 9r2s + 15r2s = 0

Combine like terms: 9r2s + 15r2s = 24r2s
-5rs2 + 24r2s = 0

Solving
-5rs2 + 24r2s = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'rs'.
rs(-5s + 24r) = 0


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

Simplifying
rs = 0

Solving
rs = 0

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

Simplifying
rs = 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 '(-5s + 24r)' equal to zero and attempt to solve:

Simplifying
-5s + 24r = 0

Reorder the terms:
24r + -5s = 0

Solving
24r + -5s = 0

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

Add '5s' to each side of the equation.
24r + -5s + 5s = 0 + 5s

Combine like terms: -5s + 5s = 0
24r + 0 = 0 + 5s
24r = 0 + 5s
Remove the zero:
24r = 5s

Divide each side by '24'.
r = 0.2083333333s

Simplifying
r = 0.2083333333s
Solution
r = {0.2083333333s}

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