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Simplifying 36r2 + -84rg + 49g2 = 0 Reorder the terms: -84gr + 49g2 + 36r2 = 0 Solving -84gr + 49g2 + 36r2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + -6r)(7g + -6r) = 0Subproblem 1
Set the factor '(7g + -6r)' equal to zero and attempt to solve: Simplifying 7g + -6r = 0 Solving 7g + -6r = 0 Move all terms containing g to the left, all other terms to the right. Add '6r' to each side of the equation. 7g + -6r + 6r = 0 + 6r Combine like terms: -6r + 6r = 0 7g + 0 = 0 + 6r 7g = 0 + 6r Remove the zero: 7g = 6r Divide each side by '7'. g = 0.8571428571r Simplifying g = 0.8571428571rSubproblem 2
Set the factor '(7g + -6r)' equal to zero and attempt to solve: Simplifying 7g + -6r = 0 Solving 7g + -6r = 0 Move all terms containing g to the left, all other terms to the right. Add '6r' to each side of the equation. 7g + -6r + 6r = 0 + 6r Combine like terms: -6r + 6r = 0 7g + 0 = 0 + 6r 7g = 0 + 6r Remove the zero: 7g = 6r Divide each side by '7'. g = 0.8571428571r Simplifying g = 0.8571428571rSolution
g = {0.8571428571r, 0.8571428571r}
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