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Simplifying (s + -1t)(3s + 8t) = 0 Multiply (s + -1t) * (3s + 8t) (s(3s + 8t) + -1t * (3s + 8t)) = 0 ((3s * s + 8t * s) + -1t * (3s + 8t)) = 0 Reorder the terms: ((8st + 3s2) + -1t * (3s + 8t)) = 0 ((8st + 3s2) + -1t * (3s + 8t)) = 0 (8st + 3s2 + (3s * -1t + 8t * -1t)) = 0 (8st + 3s2 + (-3st + -8t2)) = 0 Reorder the terms: (8st + -3st + 3s2 + -8t2) = 0 Combine like terms: 8st + -3st = 5st (5st + 3s2 + -8t2) = 0 Solving 5st + 3s2 + -8t2 = 0 Solving for variable 's'. Factor a trinomial. (s + -1t)(3s + 8t) = 0Subproblem 1
Set the factor '(s + -1t)' equal to zero and attempt to solve: Simplifying s + -1t = 0 Solving s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. s + -1t + t = 0 + t Combine like terms: -1t + t = 0 s + 0 = 0 + t s = 0 + t Remove the zero: s = t Simplifying s = tSubproblem 2
Set the factor '(3s + 8t)' equal to zero and attempt to solve: Simplifying 3s + 8t = 0 Solving 3s + 8t = 0 Move all terms containing s to the left, all other terms to the right. Add '-8t' to each side of the equation. 3s + 8t + -8t = 0 + -8t Combine like terms: 8t + -8t = 0 3s + 0 = 0 + -8t 3s = 0 + -8t Remove the zero: 3s = -8t Divide each side by '3'. s = -2.666666667t Simplifying s = -2.666666667tSolution
s = {t, -2.666666667t}
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