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Simplifying 2s(s + -1t) + s(s + -2t) = 0 (s * 2s + -1t * 2s) + s(s + -2t) = 0 Reorder the terms: (-2st + 2s2) + s(s + -2t) = 0 (-2st + 2s2) + s(s + -2t) = 0 -2st + 2s2 + (s * s + -2t * s) = 0 Reorder the terms: -2st + 2s2 + (-2st + s2) = 0 -2st + 2s2 + (-2st + s2) = 0 Reorder the terms: -2st + -2st + 2s2 + s2 = 0 Combine like terms: -2st + -2st = -4st -4st + 2s2 + s2 = 0 Combine like terms: 2s2 + s2 = 3s2 -4st + 3s2 = 0 Solving -4st + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-4t + 3s) = 0Subproblem 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 '(-4t + 3s)' equal to zero and attempt to solve: Simplifying -4t + 3s = 0 Reorder the terms: 3s + -4t = 0 Solving 3s + -4t = 0 Move all terms containing s to the left, all other terms to the right. Add '4t' to each side of the equation. 3s + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 3s + 0 = 0 + 4t 3s = 0 + 4t Remove the zero: 3s = 4t Divide each side by '3'. s = 1.333333333t Simplifying s = 1.333333333tSolution
s = {0, 1.333333333t}
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