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Simplifying s2 + -1st + -30t2 = 0 Reorder the terms: -1st + s2 + -30t2 = 0 Solving -1st + s2 + -30t2 = 0 Solving for variable 's'. Factor a trinomial. (s + -6t)(s + 5t) = 0Subproblem 1
Set the factor '(s + -6t)' equal to zero and attempt to solve: Simplifying s + -6t = 0 Solving s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 s + 0 = 0 + 6t s = 0 + 6t Remove the zero: s = 6t Simplifying s = 6tSubproblem 2
Set the factor '(s + 5t)' equal to zero and attempt to solve: Simplifying s + 5t = 0 Solving s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 s + 0 = 0 + -5t s = 0 + -5t Remove the zero: s = -5t Simplifying s = -5tSolution
s = {6t, -5t}
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