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Simplifying 42q2 + -19qr + -35r2 = 0 Reorder the terms: -19qr + 42q2 + -35r2 = 0 Solving -19qr + 42q2 + -35r2 = 0 Solving for variable 'q'. Factor a trinomial. (6q + -7r)(7q + 5r) = 0Subproblem 1
Set the factor '(6q + -7r)' equal to zero and attempt to solve: Simplifying 6q + -7r = 0 Solving 6q + -7r = 0 Move all terms containing q to the left, all other terms to the right. Add '7r' to each side of the equation. 6q + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 6q + 0 = 0 + 7r 6q = 0 + 7r Remove the zero: 6q = 7r Divide each side by '6'. q = 1.166666667r Simplifying q = 1.166666667rSubproblem 2
Set the factor '(7q + 5r)' equal to zero and attempt to solve: Simplifying 7q + 5r = 0 Solving 7q + 5r = 0 Move all terms containing q to the left, all other terms to the right. Add '-5r' to each side of the equation. 7q + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 7q + 0 = 0 + -5r 7q = 0 + -5r Remove the zero: 7q = -5r Divide each side by '7'. q = -0.7142857143r Simplifying q = -0.7142857143rSolution
q = {1.166666667r, -0.7142857143r}
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