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Simplifying 14s2 + -19st + -3t2 = 0 Reorder the terms: -19st + 14s2 + -3t2 = 0 Solving -19st + 14s2 + -3t2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -3t)(7s + t) = 0Subproblem 1
Set the factor '(2s + -3t)' equal to zero and attempt to solve: Simplifying 2s + -3t = 0 Solving 2s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 2s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 2s + 0 = 0 + 3t 2s = 0 + 3t Remove the zero: 2s = 3t Divide each side by '2'. s = 1.5t Simplifying s = 1.5tSubproblem 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 = {1.5t, -0.1428571429t}
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