-4r^4s^6(9s^3+6r-8)=0

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Solution for -4r^4s^6(9s^3+6r-8)=0 equation: 


Simplifying
-4r4s6(9s3 + 6r + -8) = 0

Reorder the terms:
-4r4s6(-8 + 6r + 9s3) = 0
(-8 * -4r4s6 + 6r * -4r4s6 + 9s3 * -4r4s6) = 0

Reorder the terms:
(32r4s6 + -36r4s9 + -24r5s6) = 0
(32r4s6 + -36r4s9 + -24r5s6) = 0

Solving
32r4s6 + -36r4s9 + -24r5s6 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r4s6'.
4r4s6(8 + -9s3 + -6r) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'r4s6' equal to zero and attempt to solve:

Simplifying
r4s6 = 0

Solving
r4s6 = 0

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

Simplifying
r4s6 = 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 '(8 + -9s3 + -6r)' equal to zero and attempt to solve:

Simplifying
8 + -9s3 + -6r = 0

Reorder the terms:
8 + -6r + -9s3 = 0

Solving
8 + -6r + -9s3 = 0

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

Add '-8' to each side of the equation.
8 + -6r + -8 + -9s3 = 0 + -8

Reorder the terms:
8 + -8 + -6r + -9s3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -6r + -9s3 = 0 + -8
-6r + -9s3 = 0 + -8

Combine like terms: 0 + -8 = -8
-6r + -9s3 = -8

Add '9s3' to each side of the equation.
-6r + -9s3 + 9s3 = -8 + 9s3

Combine like terms: -9s3 + 9s3 = 0
-6r + 0 = -8 + 9s3
-6r = -8 + 9s3

Divide each side by '-6'.
r = 1.333333333 + -1.5s3

Simplifying
r = 1.333333333 + -1.5s3
Solution
r = {1.333333333 + -1.5s3}

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