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Simplifying 6s2 + -13st + -5t2 = 0 Reorder the terms: -13st + 6s2 + -5t2 = 0 Solving -13st + 6s2 + -5t2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -5t)(3s + t) = 0Subproblem 1
Set the factor '(2s + -5t)' equal to zero and attempt to solve: Simplifying 2s + -5t = 0 Solving 2s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 2s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 2s + 0 = 0 + 5t 2s = 0 + 5t Remove the zero: 2s = 5t Divide each side by '2'. s = 2.5t Simplifying s = 2.5tSubproblem 2
Set the factor '(3s + t)' equal to zero and attempt to solve: Simplifying 3s + t = 0 Solving 3s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 3s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 3s + 0 = 0 + -1t 3s = 0 + -1t Remove the zero: 3s = -1t Divide each side by '3'. s = -0.3333333333t Simplifying s = -0.3333333333tSolution
s = {2.5t, -0.3333333333t}
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