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Simplifying -2s(3t + 5s) = 0 Reorder the terms: -2s(5s + 3t) = 0 (5s * -2s + 3t * -2s) = 0 Reorder the terms: (-6st + -10s2) = 0 (-6st + -10s2) = 0 Solving -6st + -10s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '-2s'. -2s(3t + 5s) = 0 Ignore the factor -2.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 + 5s)' equal to zero and attempt to solve: Simplifying 3t + 5s = 0 Reorder the terms: 5s + 3t = 0 Solving 5s + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. 5s + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 5s + 0 = 0 + -3t 5s = 0 + -3t Remove the zero: 5s = -3t Divide each side by '5'. s = -0.6t Simplifying s = -0.6tSolution
s = {0, -0.6t}
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