6r^4s^2-30r^3s^3=0

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Solution for 6r^4s^2-30r^3s^3=0 equation:


Simplifying
6r4s2 + -30r3s3 = 0

Reorder the terms:
-30r3s3 + 6r4s2 = 0

Solving
-30r3s3 + 6r4s2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r3s2'.
6r3s2(-5s + r) = 0

Ignore the factor 6.

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 '(-5s + r)' equal to zero and attempt to solve: Simplifying -5s + r = 0 Reorder the terms: r + -5s = 0 Solving r + -5s = 0 Move all terms containing r to the left, all other terms to the right. Add '5s' to each side of the equation. r + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 r + 0 = 0 + 5s r = 0 + 5s Remove the zero: r = 5s Simplifying r = 5s

Solution

r = {5s}

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