5r^3s^4-15r^2s^5=0

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Solution for 5r^3s^4-15r^2s^5=0 equation:


Simplifying
5r3s4 + -15r2s5 = 0

Reorder the terms:
-15r2s5 + 5r3s4 = 0

Solving
-15r2s5 + 5r3s4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r2s4'.
5r2s4(-3s + r) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'r2s4' equal to zero and attempt to solve: Simplifying r2s4 = 0 Solving r2s4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2s4 = 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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