=r^2s-3rs^3+2r^3s^2+s^4

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Solution for =r^2s-3rs^3+2r^3s^2+s^4 equation: 


Simplifying
0 = r2s + -3rs3 + 2r3s2 + s4

Reorder the terms:
0 = -3rs3 + r2s + 2r3s2 + s4

Solving
0 = -3rs3 + r2s + 2r3s2 + s4

Solving for variable 'r'.
Remove the zero:
3rs3 + -1r2s + -2r3s2 + -1s4 = -3rs3 + r2s + 2r3s2 + s4 + 3rs3 + -1r2s + -2r3s2 + -1s4

Reorder the terms:
3rs3 + -1r2s + -2r3s2 + -1s4 = -3rs3 + 3rs3 + r2s + -1r2s + 2r3s2 + -2r3s2 + s4 + -1s4

Combine like terms: -3rs3 + 3rs3 = 0
3rs3 + -1r2s + -2r3s2 + -1s4 = 0 + r2s + -1r2s + 2r3s2 + -2r3s2 + s4 + -1s4
3rs3 + -1r2s + -2r3s2 + -1s4 = r2s + -1r2s + 2r3s2 + -2r3s2 + s4 + -1s4

Combine like terms: r2s + -1r2s = 0
3rs3 + -1r2s + -2r3s2 + -1s4 = 0 + 2r3s2 + -2r3s2 + s4 + -1s4
3rs3 + -1r2s + -2r3s2 + -1s4 = 2r3s2 + -2r3s2 + s4 + -1s4

Combine like terms: 2r3s2 + -2r3s2 = 0
3rs3 + -1r2s + -2r3s2 + -1s4 = 0 + s4 + -1s4
3rs3 + -1r2s + -2r3s2 + -1s4 = s4 + -1s4

Combine like terms: s4 + -1s4 = 0
3rs3 + -1r2s + -2r3s2 + -1s4 = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(3rs2 + -1r2 + -2r3s + -1s3) = 0


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

Simplifying
s = 0

Solving
s = 0

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

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

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 '(3rs2 + -1r2 + -2r3s + -1s3)' equal to zero and attempt to solve:

Simplifying
3rs2 + -1r2 + -2r3s + -1s3 = 0

Solving
3rs2 + -1r2 + -2r3s + -1s3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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