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Simplifying 12s2 + 11st = 5t2 Reorder the terms: 11st + 12s2 = 5t2 Solving 11st + 12s2 = 5t2 Solving for variable 's'. Combine like terms: 5t2 + -5t2 = 0 11st + 12s2 + -5t2 = 0 Factor a trinomial. (3s + -1t)(4s + 5t) = 0Subproblem 1
Set the factor '(3s + -1t)' equal to zero and attempt to solve: Simplifying 3s + -1t = 0 Solving 3s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 3s + -1t + t = 0 + t Combine like terms: -1t + t = 0 3s + 0 = 0 + t 3s = 0 + t Remove the zero: 3s = t Divide each side by '3'. s = 0.3333333333t Simplifying s = 0.3333333333tSubproblem 2
Set the factor '(4s + 5t)' equal to zero and attempt to solve: Simplifying 4s + 5t = 0 Solving 4s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 4s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4s + 0 = 0 + -5t 4s = 0 + -5t Remove the zero: 4s = -5t Divide each side by '4'. s = -1.25t Simplifying s = -1.25tSolution
s = {0.3333333333t, -1.25t}
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