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Simplifying q2 + 11qr + 18r2 = 0 Reorder the terms: 11qr + q2 + 18r2 = 0 Solving 11qr + q2 + 18r2 = 0 Solving for variable 'q'. Factor a trinomial. (q + 2r)(q + 9r) = 0Subproblem 1
Set the factor '(q + 2r)' equal to zero and attempt to solve: Simplifying q + 2r = 0 Solving q + 2r = 0 Move all terms containing q to the left, all other terms to the right. Add '-2r' to each side of the equation. q + 2r + -2r = 0 + -2r Combine like terms: 2r + -2r = 0 q + 0 = 0 + -2r q = 0 + -2r Remove the zero: q = -2r Simplifying q = -2rSubproblem 2
Set the factor '(q + 9r)' equal to zero and attempt to solve: Simplifying q + 9r = 0 Solving q + 9r = 0 Move all terms containing q to the left, all other terms to the right. Add '-9r' to each side of the equation. q + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 q + 0 = 0 + -9r q = 0 + -9r Remove the zero: q = -9r Simplifying q = -9rSolution
q = {-2r, -9r}
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