3r^4s^2-9r^3s^3=0

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Solution for 3r^4s^2-9r^3s^3=0 equation:


Simplifying
3r4s2 + -9r3s3 = 0

Reorder the terms:
-9r3s3 + 3r4s2 = 0

Solving
-9r3s3 + 3r4s2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r3s2'.
3r3s2(-3s + r) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'r3s2' equal to zero and attempt to solve: Simplifying r3s2 = 0 Solving r3s2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3s2 = 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 '(-3s + r)' equal to zero and attempt to solve: Simplifying -3s + r = 0 Reorder the terms: r + -3s = 0 Solving r + -3s = 0 Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 r + 0 = 0 + 3s r = 0 + 3s Remove the zero: r = 3s Simplifying r = 3s

Solution

r = {3s}

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