-4s^3t^3=24s^2t^2

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Solution for -4s^3t^3=24s^2t^2 equation:


Simplifying
-4s3t3 = 24s2t2

Solving
-4s3t3 = 24s2t2

Solving for variable 's'.

Reorder the terms:
-24s2t2 + -4s3t3 = 24s2t2 + -24s2t2

Combine like terms: 24s2t2 + -24s2t2 = 0
-24s2t2 + -4s3t3 = 0

Factor out the Greatest Common Factor (GCF), '-4s2t2'.
-4s2t2(6 + st) = 0

Ignore the factor -4.

Subproblem 1

Set the factor 's2t2' equal to zero and attempt to solve: Simplifying s2t2 = 0 Solving s2t2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2t2 = 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 '(6 + st)' equal to zero and attempt to solve: Simplifying 6 + st = 0 Solving 6 + st = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + st = 0 + -6 Combine like terms: 6 + -6 = 0 0 + st = 0 + -6 st = 0 + -6 Combine like terms: 0 + -6 = -6 st = -6 Divide each side by 't'. s = -6t-1 Simplifying s = -6t-1

Solution

s = {-6t-1}

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