-3r^4s^6(9s^2-8r+7)=0

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Solution for -3r^4s^6(9s^2-8r+7)=0 equation: 


Simplifying
-3r4s6(9s2 + -8r + 7) = 0

Reorder the terms:
-3r4s6(7 + -8r + 9s2) = 0
(7 * -3r4s6 + -8r * -3r4s6 + 9s2 * -3r4s6) = 0

Reorder the terms:
(-21r4s6 + -27r4s8 + 24r5s6) = 0
(-21r4s6 + -27r4s8 + 24r5s6) = 0

Solving
-21r4s6 + -27r4s8 + 24r5s6 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r4s6'.
3r4s6(-7 + -9s2 + 8r) = 0

Ignore the factor 3.

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 '(-7 + -9s2 + 8r)' equal to zero and attempt to solve:

Simplifying
-7 + -9s2 + 8r = 0

Reorder the terms:
-7 + 8r + -9s2 = 0

Solving
-7 + 8r + -9s2 = 0

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

Add '7' to each side of the equation.
-7 + 8r + 7 + -9s2 = 0 + 7

Reorder the terms:
-7 + 7 + 8r + -9s2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8r + -9s2 = 0 + 7
8r + -9s2 = 0 + 7

Combine like terms: 0 + 7 = 7
8r + -9s2 = 7

Add '9s2' to each side of the equation.
8r + -9s2 + 9s2 = 7 + 9s2

Combine like terms: -9s2 + 9s2 = 0
8r + 0 = 7 + 9s2
8r = 7 + 9s2

Divide each side by '8'.
r = 0.875 + 1.125s2

Simplifying
r = 0.875 + 1.125s2
Solution
r = {0.875 + 1.125s2}

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