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Simplifying 2t2 + 6ts + -20s2 = 0 Reorder the terms: 6st + -20s2 + 2t2 = 0 Solving 6st + -20s2 + 2t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(3st + -10s2 + t2) = 0 Factor a trinomial. 2((-5s + -1t)(2s + -1t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5s + -1t)' equal to zero and attempt to solve: Simplifying -5s + -1t = 0 Solving -5s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. -5s + -1t + t = 0 + t Combine like terms: -1t + t = 0 -5s + 0 = 0 + t -5s = 0 + t Remove the zero: -5s = t Divide each side by '-5'. s = -0.2t Simplifying s = -0.2tSubproblem 2
Set the factor '(2s + -1t)' equal to zero and attempt to solve: Simplifying 2s + -1t = 0 Solving 2s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 2s + -1t + t = 0 + t Combine like terms: -1t + t = 0 2s + 0 = 0 + t 2s = 0 + t Remove the zero: 2s = t Divide each side by '2'. s = 0.5t Simplifying s = 0.5tSolution
s = {-0.2t, 0.5t}
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