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Simplifying 5s2t3(2s + -3t2) = 0 (2s * 5s2t3 + -3t2 * 5s2t3) = 0 Reorder the terms: (-15s2t5 + 10s3t3) = 0 (-15s2t5 + 10s3t3) = 0 Solving -15s2t5 + 10s3t3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s2t3'. 5s2t3(-3t2 + 2s) = 0 Ignore the factor 5.Subproblem 1
Set the factor 's2t3' equal to zero and attempt to solve: Simplifying s2t3 = 0 Solving s2t3 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2t3 = 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 '(-3t2 + 2s)' equal to zero and attempt to solve: Simplifying -3t2 + 2s = 0 Reorder the terms: 2s + -3t2 = 0 Solving 2s + -3t2 = 0 Move all terms containing s to the left, all other terms to the right. Add '3t2' to each side of the equation. 2s + -3t2 + 3t2 = 0 + 3t2 Combine like terms: -3t2 + 3t2 = 0 2s + 0 = 0 + 3t2 2s = 0 + 3t2 Remove the zero: 2s = 3t2 Divide each side by '2'. s = 1.5t2 Simplifying s = 1.5t2Solution
s = {1.5t2}
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