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Simplifying 7s2 + 22st + 3t2 = 0 Reorder the terms: 22st + 7s2 + 3t2 = 0 Solving 22st + 7s2 + 3t2 = 0 Solving for variable 's'. Factor a trinomial. (7s + t)(s + 3t) = 0Subproblem 1
Set the factor '(7s + t)' equal to zero and attempt to solve: Simplifying 7s + t = 0 Solving 7s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 7s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 7s + 0 = 0 + -1t 7s = 0 + -1t Remove the zero: 7s = -1t Divide each side by '7'. s = -0.1428571429t Simplifying s = -0.1428571429tSubproblem 2
Set the factor '(s + 3t)' equal to zero and attempt to solve: Simplifying s + 3t = 0 Solving s + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. s + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 s + 0 = 0 + -3t s = 0 + -3t Remove the zero: s = -3t Simplifying s = -3tSolution
s = {-0.1428571429t, -3t}
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