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Simplifying g2 + g = 306 Reorder the terms: g + g2 = 306 Solving g + g2 = 306 Solving for variable 'g'. Reorder the terms: -306 + g + g2 = 306 + -306 Combine like terms: 306 + -306 = 0 -306 + g + g2 = 0 Factor a trinomial. (-18 + -1g)(17 + -1g) = 0Subproblem 1
Set the factor '(-18 + -1g)' equal to zero and attempt to solve: Simplifying -18 + -1g = 0 Solving -18 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1g = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1g = 0 + 18 -1g = 0 + 18 Combine like terms: 0 + 18 = 18 -1g = 18 Divide each side by '-1'. g = -18 Simplifying g = -18Subproblem 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 = {-18, 17}
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