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Simplifying s2 + 22st + -48t2 = 0 Reorder the terms: 22st + s2 + -48t2 = 0 Solving 22st + s2 + -48t2 = 0 Solving for variable 's'. Factor a trinomial. (s + -2t)(s + 24t) = 0Subproblem 1
Set the factor '(s + -2t)' equal to zero and attempt to solve: Simplifying s + -2t = 0 Solving s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 s + 0 = 0 + 2t s = 0 + 2t Remove the zero: s = 2t Simplifying s = 2tSubproblem 2
Set the factor '(s + 24t)' equal to zero and attempt to solve: Simplifying s + 24t = 0 Solving s + 24t = 0 Move all terms containing s to the left, all other terms to the right. Add '-24t' to each side of the equation. s + 24t + -24t = 0 + -24t Combine like terms: 24t + -24t = 0 s + 0 = 0 + -24t s = 0 + -24t Remove the zero: s = -24t Simplifying s = -24tSolution
s = {2t, -24t}
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