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Simplifying 121s2 + -66st + 9t2 = 0 Reorder the terms: -66st + 121s2 + 9t2 = 0 Solving -66st + 121s2 + 9t2 = 0 Solving for variable 's'. Factor a trinomial. (11s + -3t)(11s + -3t) = 0Subproblem 1
Set the factor '(11s + -3t)' equal to zero and attempt to solve: Simplifying 11s + -3t = 0 Solving 11s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 11s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 11s + 0 = 0 + 3t 11s = 0 + 3t Remove the zero: 11s = 3t Divide each side by '11'. s = 0.2727272727t Simplifying s = 0.2727272727tSubproblem 2
Set the factor '(11s + -3t)' equal to zero and attempt to solve: Simplifying 11s + -3t = 0 Solving 11s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 11s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 11s + 0 = 0 + 3t 11s = 0 + 3t Remove the zero: 11s = 3t Divide each side by '11'. s = 0.2727272727t Simplifying s = 0.2727272727tSolution
s = {0.2727272727t, 0.2727272727t}
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