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Simplifying 25r2 + 20rg + 4g2 = 0 Reorder the terms: 20gr + 4g2 + 25r2 = 0 Solving 20gr + 4g2 + 25r2 = 0 Solving for variable 'g'. Factor a trinomial. (2g + 5r)(2g + 5r) = 0Subproblem 1
Set the factor '(2g + 5r)' equal to zero and attempt to solve: Simplifying 2g + 5r = 0 Solving 2g + 5r = 0 Move all terms containing g to the left, all other terms to the right. Add '-5r' to each side of the equation. 2g + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 2g + 0 = 0 + -5r 2g = 0 + -5r Remove the zero: 2g = -5r Divide each side by '2'. g = -2.5r Simplifying g = -2.5rSubproblem 2
Set the factor '(2g + 5r)' equal to zero and attempt to solve: Simplifying 2g + 5r = 0 Solving 2g + 5r = 0 Move all terms containing g to the left, all other terms to the right. Add '-5r' to each side of the equation. 2g + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 2g + 0 = 0 + -5r 2g = 0 + -5r Remove the zero: 2g = -5r Divide each side by '2'. g = -2.5r Simplifying g = -2.5rSolution
g = {-2.5r, -2.5r}
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