Simplifying g2 = 13 + -12g Solving g2 = 13 + -12g Solving for variable 'g'. Reorder the terms: -13 + 12g + g2 = 13 + -12g + -13 + 12g Reorder the terms: -13 + 12g + g2 = 13 + -13 + -12g + 12g Combine like terms: 13 + -13 = 0 -13 + 12g + g2 = 0 + -12g + 12g -13 + 12g + g2 = -12g + 12g Combine like terms: -12g + 12g = 0 -13 + 12g + g2 = 0 Factor a trinomial. (-13 + -1g)(1 + -1g) = 0 Subproblem 1Set the factor '(-13 + -1g)' equal to zero and attempt to solve: Simplifying -13 + -1g = 0 Solving -13 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1g = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1g = 0 + 13 -1g = 0 + 13 Combine like terms: 0 + 13 = 13 -1g = 13 Divide each side by '-1'. g = -13 Simplifying g = -13 Subproblem 2Set the factor '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solutiong = {-13, 1}
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