5(s^4)(t^2)-10(s^3)(t^3)=0

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Solution for 5(s^4)(t^2)-10(s^3)(t^3)=0 equation:


Simplifying
5(s4)(t2) + -10(s3)(t3) = 0

Multiply s4 * t2
5s4t2 + -10(s3)(t3) = 0

Multiply s3 * t3
5s4t2 + -10s3t3 = 0

Reorder the terms:
-10s3t3 + 5s4t2 = 0

Solving
-10s3t3 + 5s4t2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s3t2'.
5s3t2(-2t + s) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 's3t2' equal to zero and attempt to solve: Simplifying s3t2 = 0 Solving s3t2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s3t2 = 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 '(-2t + s)' equal to zero and attempt to solve: Simplifying -2t + s = 0 Reorder the terms: s + -2t = 0 Solving s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 s + 0 = 0 + 2t s = 0 + 2t Remove the zero: s = 2t Simplifying s = 2t

Solution

s = {2t}

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