5s^3t^2[3s-5t^2]=

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Solution for 5s^3t^2[3s-5t^2]= equation:


Simplifying
5s3t2[3s + -5t2] = 0
[3s * 5s3t2 + -5t2 * 5s3t2] = 0

Reorder the terms:
[-25s3t4 + 15s4t2] = 0
[-25s3t4 + 15s4t2] = 0

Solving
-25s3t4 + 15s4t2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s3t2'.
5s3t2(-5t2 + 3s) = 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 '(-5t2 + 3s)' equal to zero and attempt to solve: Simplifying -5t2 + 3s = 0 Reorder the terms: 3s + -5t2 = 0 Solving 3s + -5t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '5t2' to each side of the equation. 3s + -5t2 + 5t2 = 0 + 5t2 Combine like terms: -5t2 + 5t2 = 0 3s + 0 = 0 + 5t2 3s = 0 + 5t2 Remove the zero: 3s = 5t2 Divide each side by '3'. s = 1.666666667t2 Simplifying s = 1.666666667t2

Solution

s = {1.666666667t2}

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