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Simplifying 30q2 + 17qr + -35r2 = 0 Reorder the terms: 17qr + 30q2 + -35r2 = 0 Solving 17qr + 30q2 + -35r2 = 0 Solving for variable 'q'. Factor a trinomial. (6q + -5r)(5q + 7r) = 0Subproblem 1
Set the factor '(6q + -5r)' equal to zero and attempt to solve: Simplifying 6q + -5r = 0 Solving 6q + -5r = 0 Move all terms containing q to the left, all other terms to the right. Add '5r' to each side of the equation. 6q + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 6q + 0 = 0 + 5r 6q = 0 + 5r Remove the zero: 6q = 5r Divide each side by '6'. q = 0.8333333333r Simplifying q = 0.8333333333rSubproblem 2
Set the factor '(5q + 7r)' equal to zero and attempt to solve: Simplifying 5q + 7r = 0 Solving 5q + 7r = 0 Move all terms containing q to the left, all other terms to the right. Add '-7r' to each side of the equation. 5q + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 5q + 0 = 0 + -7r 5q = 0 + -7r Remove the zero: 5q = -7r Divide each side by '5'. q = -1.4r Simplifying q = -1.4rSolution
q = {0.8333333333r, -1.4r}
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