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Simplifying g2 + g = 156 Reorder the terms: g + g2 = 156 Solving g + g2 = 156 Solving for variable 'g'. Reorder the terms: -156 + g + g2 = 156 + -156 Combine like terms: 156 + -156 = 0 -156 + g + g2 = 0 Factor a trinomial. (-13 + -1g)(12 + -1g) = 0Subproblem 1
Set 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 = -13Subproblem 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 = {-13, 12}
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