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Simplifying g2 + g = 272 Reorder the terms: g + g2 = 272 Solving g + g2 = 272 Solving for variable 'g'. Reorder the terms: -272 + g + g2 = 272 + -272 Combine like terms: 272 + -272 = 0 -272 + g + g2 = 0 Factor a trinomial. (-17 + -1g)(16 + -1g) = 0Subproblem 1
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 = -17Subproblem 2
Set the factor '(16 + -1g)' equal to zero and attempt to solve: Simplifying 16 + -1g = 0 Solving 16 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1g = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1g = 0 + -16 -1g = 0 + -16 Combine like terms: 0 + -16 = -16 -1g = -16 Divide each side by '-1'. g = 16 Simplifying g = 16Solution
g = {-17, 16}
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