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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) = 0Subproblem 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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