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Simplifying 5s(3t + 2s) = 0 Reorder the terms: 5s(2s + 3t) = 0 (2s * 5s + 3t * 5s) = 0 Reorder the terms: (15st + 10s2) = 0 (15st + 10s2) = 0 Solving 15st + 10s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(3t + 2s) = 0 Ignore the factor 5.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(3t + 2s)' equal to zero and attempt to solve: Simplifying 3t + 2s = 0 Reorder the terms: 2s + 3t = 0 Solving 2s + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. 2s + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 2s + 0 = 0 + -3t 2s = 0 + -3t Remove the zero: 2s = -3t Divide each side by '2'. s = -1.5t Simplifying s = -1.5tSolution
s = {0, -1.5t}
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