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Simplifying r2 + -11rg + 28g2 = 0 Reorder the terms: -11gr + 28g2 + r2 = 0 Solving -11gr + 28g2 + r2 = 0 Solving for variable 'g'. Factor a trinomial. (4g + -1r)(7g + -1r) = 0Subproblem 1
Set the factor '(4g + -1r)' equal to zero and attempt to solve: Simplifying 4g + -1r = 0 Solving 4g + -1r = 0 Move all terms containing g to the left, all other terms to the right. Add 'r' to each side of the equation. 4g + -1r + r = 0 + r Combine like terms: -1r + r = 0 4g + 0 = 0 + r 4g = 0 + r Remove the zero: 4g = r Divide each side by '4'. g = 0.25r Simplifying g = 0.25rSubproblem 2
Set the factor '(7g + -1r)' equal to zero and attempt to solve: Simplifying 7g + -1r = 0 Solving 7g + -1r = 0 Move all terms containing g to the left, all other terms to the right. Add 'r' to each side of the equation. 7g + -1r + r = 0 + r Combine like terms: -1r + r = 0 7g + 0 = 0 + r 7g = 0 + r Remove the zero: 7g = r Divide each side by '7'. g = 0.1428571429r Simplifying g = 0.1428571429rSolution
g = {0.25r, 0.1428571429r}
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