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Simplifying r2 + 11rg + 18g2 = 0 Reorder the terms: 11gr + 18g2 + r2 = 0 Solving 11gr + 18g2 + r2 = 0 Solving for variable 'g'. Factor a trinomial. (9g + r)(2g + r) = 0Subproblem 1
Set the factor '(9g + r)' equal to zero and attempt to solve: Simplifying 9g + r = 0 Solving 9g + r = 0 Move all terms containing g to the left, all other terms to the right. Add '-1r' to each side of the equation. 9g + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 9g + 0 = 0 + -1r 9g = 0 + -1r Remove the zero: 9g = -1r Divide each side by '9'. g = -0.1111111111r Simplifying g = -0.1111111111rSubproblem 2
Set the factor '(2g + r)' equal to zero and attempt to solve: Simplifying 2g + r = 0 Solving 2g + r = 0 Move all terms containing g to the left, all other terms to the right. Add '-1r' to each side of the equation. 2g + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 2g + 0 = 0 + -1r 2g = 0 + -1r Remove the zero: 2g = -1r Divide each side by '2'. g = -0.5r Simplifying g = -0.5rSolution
g = {-0.1111111111r, -0.5r}
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