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