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Simplifying 12s2 + -5st + -2t2 = 0 Reorder the terms: -5st + 12s2 + -2t2 = 0 Solving -5st + 12s2 + -2t2 = 0 Solving for variable 's'. Factor a trinomial. (3s + -2t)(4s + t) = 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 '(4s + t)' equal to zero and attempt to solve: Simplifying 4s + t = 0 Solving 4s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 4s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 4s + 0 = 0 + -1t 4s = 0 + -1t Remove the zero: 4s = -1t Divide each side by '4'. s = -0.25t Simplifying s = -0.25tSolution
s = {0.6666666667t, -0.25t}
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