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Simplifying 49s2 + -84st + 36t2 = 0 Reorder the terms: -84st + 49s2 + 36t2 = 0 Solving -84st + 49s2 + 36t2 = 0 Solving for variable 's'. Factor a trinomial. (7s + -6t)(7s + -6t) = 0Subproblem 1
Set the factor '(7s + -6t)' equal to zero and attempt to solve: Simplifying 7s + -6t = 0 Solving 7s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. 7s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 7s + 0 = 0 + 6t 7s = 0 + 6t Remove the zero: 7s = 6t Divide each side by '7'. s = 0.8571428571t Simplifying s = 0.8571428571tSubproblem 2
Set the factor '(7s + -6t)' equal to zero and attempt to solve: Simplifying 7s + -6t = 0 Solving 7s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. 7s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 7s + 0 = 0 + 6t 7s = 0 + 6t Remove the zero: 7s = 6t Divide each side by '7'. s = 0.8571428571t Simplifying s = 0.8571428571tSolution
s = {0.8571428571t, 0.8571428571t}
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