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Simplifying 35s2 + -16st + -3t2 = 0 Reorder the terms: -16st + 35s2 + -3t2 = 0 Solving -16st + 35s2 + -3t2 = 0 Solving for variable 's'. Factor a trinomial. (5s + -3t)(7s + t) = 0Subproblem 1
Set the factor '(5s + -3t)' equal to zero and attempt to solve: Simplifying 5s + -3t = 0 Solving 5s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 5s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 5s + 0 = 0 + 3t 5s = 0 + 3t Remove the zero: 5s = 3t Divide each side by '5'. s = 0.6t Simplifying s = 0.6tSubproblem 2
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 = -0.1428571429tSolution
s = {0.6t, -0.1428571429t}
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