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Simplifying 12s2 + -29st + 14t2 = 0 Reorder the terms: -29st + 12s2 + 14t2 = 0 Solving -29st + 12s2 + 14t2 = 0 Solving for variable 's'. Factor a trinomial. (4s + -7t)(3s + -2t) = 0Subproblem 1
Set the factor '(4s + -7t)' equal to zero and attempt to solve: Simplifying 4s + -7t = 0 Solving 4s + -7t = 0 Move all terms containing s to the left, all other terms to the right. Add '7t' to each side of the equation. 4s + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 4s + 0 = 0 + 7t 4s = 0 + 7t Remove the zero: 4s = 7t Divide each side by '4'. s = 1.75t Simplifying s = 1.75tSubproblem 2
Set the factor '(3s + -2t)' equal to zero and attempt to solve: Simplifying 3s + -2t = 0 Solving 3s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. 3s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 3s + 0 = 0 + 2t 3s = 0 + 2t Remove the zero: 3s = 2t Divide each side by '3'. s = 0.6666666667t Simplifying s = 0.6666666667tSolution
s = {1.75t, 0.6666666667t}
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