4st^3+5s^3t-6st^3=

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Solution for 4st^3+5s^3t-6st^3= equation:


Simplifying
4st3 + 5s3t + -6st3 = 0

Reorder the terms:
4st3 + -6st3 + 5s3t = 0

Combine like terms: 4st3 + -6st3 = -2st3
-2st3 + 5s3t = 0

Solving
-2st3 + 5s3t = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 'st'.
st(-2t2 + 5s2) = 0

Subproblem 1

Set the factor 'st' equal to zero and attempt to solve: Simplifying st = 0 Solving st = 0 Move all terms containing s to the left, all other terms to the right. Simplifying st = 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 '(-2t2 + 5s2)' equal to zero and attempt to solve: Simplifying -2t2 + 5s2 = 0 Reorder the terms: 5s2 + -2t2 = 0 Solving 5s2 + -2t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '2t2' to each side of the equation. 5s2 + -2t2 + 2t2 = 0 + 2t2 Combine like terms: -2t2 + 2t2 = 0 5s2 + 0 = 0 + 2t2 5s2 = 0 + 2t2 Remove the zero: 5s2 = 2t2 Divide each side by '5'. s2 = 0.4t2 Simplifying s2 = 0.4t2 Take the square root of each side: s = {-0.632455532t, 0.632455532t}

Solution

s = {-0.632455532t, 0.632455532t}

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