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Simplifying 7s2 + -19st + 10t2 = 0 Reorder the terms: -19st + 7s2 + 10t2 = 0 Solving -19st + 7s2 + 10t2 = 0 Solving for variable 's'. Factor a trinomial. (s + -2t)(7s + -5t) = 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 '(7s + -5t)' equal to zero and attempt to solve: Simplifying 7s + -5t = 0 Solving 7s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 7s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 7s + 0 = 0 + 5t 7s = 0 + 5t Remove the zero: 7s = 5t Divide each side by '7'. s = 0.7142857143t Simplifying s = 0.7142857143tSolution
s = {2t, 0.7142857143t}
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