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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. (3s + -4t)(4s + t) = 0Subproblem 1
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 = 1.333333333tSubproblem 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 = {1.333333333t, -0.25t}
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