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Simplifying 81r2 + -180rg + 100g2 = 0 Reorder the terms: -180gr + 100g2 + 81r2 = 0 Solving -180gr + 100g2 + 81r2 = 0 Solving for variable 'g'. Factor a trinomial. (10g + -9r)(10g + -9r) = 0Subproblem 1
Set the factor '(10g + -9r)' equal to zero and attempt to solve: Simplifying 10g + -9r = 0 Solving 10g + -9r = 0 Move all terms containing g to the left, all other terms to the right. Add '9r' to each side of the equation. 10g + -9r + 9r = 0 + 9r Combine like terms: -9r + 9r = 0 10g + 0 = 0 + 9r 10g = 0 + 9r Remove the zero: 10g = 9r Divide each side by '10'. g = 0.9r Simplifying g = 0.9rSubproblem 2
Set the factor '(10g + -9r)' equal to zero and attempt to solve: Simplifying 10g + -9r = 0 Solving 10g + -9r = 0 Move all terms containing g to the left, all other terms to the right. Add '9r' to each side of the equation. 10g + -9r + 9r = 0 + 9r Combine like terms: -9r + 9r = 0 10g + 0 = 0 + 9r 10g = 0 + 9r Remove the zero: 10g = 9r Divide each side by '10'. g = 0.9r Simplifying g = 0.9rSolution
g = {0.9r, 0.9r}
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