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Simplifying g(g) + -2g = 323 Multiply g * g 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. (-17 + -1g)(19 + -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 '(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 = 19Solution
g = {-17, 19}
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