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Simplifying G2 + 2G = 323 Reorder the terms: 2G + G2 = 323 Solving 2G + G2 = 323 Solving for variable 'G'. Reorder the terms: -323 + 2G + G2 = 323 + -323 Combine like terms: 323 + -323 = 0 -323 + 2G + G2 = 0 Factor a trinomial. (-19 + -1G)(17 + -1G) = 0Subproblem 1
Set the factor '(-19 + -1G)' equal to zero and attempt to solve: Simplifying -19 + -1G = 0 Solving -19 + -1G = 0 Move all terms containing G to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1G = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1G = 0 + 19 -1G = 0 + 19 Combine like terms: 0 + 19 = 19 -1G = 19 Divide each side by '-1'. G = -19 Simplifying G = -19Subproblem 2
Set the factor '(17 + -1G)' equal to zero and attempt to solve: Simplifying 17 + -1G = 0 Solving 17 + -1G = 0 Move all terms containing G to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1G = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1G = 0 + -17 -1G = 0 + -17 Combine like terms: 0 + -17 = -17 -1G = -17 Divide each side by '-1'. G = 17 Simplifying G = 17Solution
G = {-19, 17}
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