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Simplifying 6q2 + 13qr + -63r2 = 0 Reorder the terms: 13qr + 6q2 + -63r2 = 0 Solving 13qr + 6q2 + -63r2 = 0 Solving for variable 'q'. Factor a trinomial. (3q + -7r)(2q + 9r) = 0Subproblem 1
Set the factor '(3q + -7r)' equal to zero and attempt to solve: Simplifying 3q + -7r = 0 Solving 3q + -7r = 0 Move all terms containing q to the left, all other terms to the right. Add '7r' to each side of the equation. 3q + -7r + 7r = 0 + 7r Combine like terms: -7r + 7r = 0 3q + 0 = 0 + 7r 3q = 0 + 7r Remove the zero: 3q = 7r Divide each side by '3'. q = 2.333333333r Simplifying q = 2.333333333rSubproblem 2
Set the factor '(2q + 9r)' equal to zero and attempt to solve: Simplifying 2q + 9r = 0 Solving 2q + 9r = 0 Move all terms containing q to the left, all other terms to the right. Add '-9r' to each side of the equation. 2q + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 2q + 0 = 0 + -9r 2q = 0 + -9r Remove the zero: 2q = -9r Divide each side by '2'. q = -4.5r Simplifying q = -4.5rSolution
q = {2.333333333r, -4.5r}
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