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Simplifying (12s + -1t)(s + 12t) = 0 Multiply (12s + -1t) * (s + 12t) (12s * (s + 12t) + -1t * (s + 12t)) = 0 ((s * 12s + 12t * 12s) + -1t * (s + 12t)) = 0 Reorder the terms: ((144st + 12s2) + -1t * (s + 12t)) = 0 ((144st + 12s2) + -1t * (s + 12t)) = 0 (144st + 12s2 + (s * -1t + 12t * -1t)) = 0 (144st + 12s2 + (-1st + -12t2)) = 0 Reorder the terms: (144st + -1st + 12s2 + -12t2) = 0 Combine like terms: 144st + -1st = 143st (143st + 12s2 + -12t2) = 0 Solving 143st + 12s2 + -12t2 = 0 Solving for variable 's'. Factor a trinomial. (12s + -1t)(s + 12t) = 0Subproblem 1
Set the factor '(12s + -1t)' equal to zero and attempt to solve: Simplifying 12s + -1t = 0 Solving 12s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 12s + -1t + t = 0 + t Combine like terms: -1t + t = 0 12s + 0 = 0 + t 12s = 0 + t Remove the zero: 12s = t Divide each side by '12'. s = 0.08333333333t Simplifying s = 0.08333333333tSubproblem 2
Set the factor '(s + 12t)' equal to zero and attempt to solve: Simplifying s + 12t = 0 Solving s + 12t = 0 Move all terms containing s to the left, all other terms to the right. Add '-12t' to each side of the equation. s + 12t + -12t = 0 + -12t Combine like terms: 12t + -12t = 0 s + 0 = 0 + -12t s = 0 + -12t Remove the zero: s = -12t Simplifying s = -12tSolution
s = {0.08333333333t, -12t}
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