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Simplifying 323 = g2 + -2g Reorder the terms: 323 = -2g + g2 Solving 323 = -2g + g2 Solving for variable 'g'. Reorder the terms: 323 + 2g + -1g2 = -2g + 2g + g2 + -1g2 Combine like terms: -2g + 2g = 0 323 + 2g + -1g2 = 0 + g2 + -1g2 323 + 2g + -1g2 = g2 + -1g2 Combine like terms: g2 + -1g2 = 0 323 + 2g + -1g2 = 0 Factor a trinomial. (19 + -1g)(17 + g) = 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 + g)' equal to zero and attempt to solve: Simplifying 17 + g = 0 Solving 17 + g = 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 + g = 0 + -17 Combine like terms: 17 + -17 = 0 0 + g = 0 + -17 g = 0 + -17 Combine like terms: 0 + -17 = -17 g = -17 Simplifying g = -17Solution
g = {19, -17}
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