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Simplifying 2s2 + 19st + -10t2 = 0 Reorder the terms: 19st + 2s2 + -10t2 = 0 Solving 19st + 2s2 + -10t2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -1t)(s + 10t) = 0Subproblem 1
Set the factor '(2s + -1t)' equal to zero and attempt to solve: Simplifying 2s + -1t = 0 Solving 2s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 2s + -1t + t = 0 + t Combine like terms: -1t + t = 0 2s + 0 = 0 + t 2s = 0 + t Remove the zero: 2s = t Divide each side by '2'. s = 0.5t Simplifying s = 0.5tSubproblem 2
Set the factor '(s + 10t)' equal to zero and attempt to solve: Simplifying s + 10t = 0 Solving s + 10t = 0 Move all terms containing s to the left, all other terms to the right. Add '-10t' to each side of the equation. s + 10t + -10t = 0 + -10t Combine like terms: 10t + -10t = 0 s + 0 = 0 + -10t s = 0 + -10t Remove the zero: s = -10t Simplifying s = -10tSolution
s = {0.5t, -10t}
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