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Simplifying 3s2 + 17st + 10t2 = 0 Reorder the terms: 17st + 3s2 + 10t2 = 0 Solving 17st + 3s2 + 10t2 = 0 Solving for variable 's'. Factor a trinomial. (3s + 2t)(s + 5t) = 0Subproblem 1
Set the factor '(3s + 2t)' equal to zero and attempt to solve: Simplifying 3s + 2t = 0 Solving 3s + 2t = 0 Move all terms containing s to the left, all other terms to the right. Add '-2t' to each side of the equation. 3s + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 3s + 0 = 0 + -2t 3s = 0 + -2t Remove the zero: 3s = -2t Divide each side by '3'. s = -0.6666666667t Simplifying s = -0.6666666667tSubproblem 2
Set the factor '(s + 5t)' equal to zero and attempt to solve: Simplifying s + 5t = 0 Solving s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 s + 0 = 0 + -5t s = 0 + -5t Remove the zero: s = -5t Simplifying s = -5tSolution
s = {-0.6666666667t, -5t}
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