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Simplifying 12s2 + 13st + -4t2 = 0 Reorder the terms: 13st + 12s2 + -4t2 = 0 Solving 13st + 12s2 + -4t2 = 0 Solving for variable 's'. Factor a trinomial. (4s + -1t)(3s + 4t) = 0Subproblem 1
Set the factor '(4s + -1t)' equal to zero and attempt to solve: Simplifying 4s + -1t = 0 Solving 4s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 4s + -1t + t = 0 + t Combine like terms: -1t + t = 0 4s + 0 = 0 + t 4s = 0 + t Remove the zero: 4s = t Divide each side by '4'. s = 0.25t Simplifying s = 0.25tSubproblem 2
Set the factor '(3s + 4t)' equal to zero and attempt to solve: Simplifying 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 = {0.25t, -1.333333333t}
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