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Simplifying 49q2 + -84qt + 36t2 = 0 Reorder the terms: -84qt + 49q2 + 36t2 = 0 Solving -84qt + 49q2 + 36t2 = 0 Solving for variable 'q'. Factor a trinomial. (7q + -6t)(7q + -6t) = 0Subproblem 1
Set the factor '(7q + -6t)' equal to zero and attempt to solve: Simplifying 7q + -6t = 0 Solving 7q + -6t = 0 Move all terms containing q to the left, all other terms to the right. Add '6t' to each side of the equation. 7q + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 7q + 0 = 0 + 6t 7q = 0 + 6t Remove the zero: 7q = 6t Divide each side by '7'. q = 0.8571428571t Simplifying q = 0.8571428571tSubproblem 2
Set the factor '(7q + -6t)' equal to zero and attempt to solve: Simplifying 7q + -6t = 0 Solving 7q + -6t = 0 Move all terms containing q to the left, all other terms to the right. Add '6t' to each side of the equation. 7q + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 7q + 0 = 0 + 6t 7q = 0 + 6t Remove the zero: 7q = 6t Divide each side by '7'. q = 0.8571428571t Simplifying q = 0.8571428571tSolution
q = {0.8571428571t, 0.8571428571t}
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