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Simplifying g * g = 6g + 16 Multiply g * g g2 = 6g + 16 Reorder the terms: g2 = 16 + 6g Solving g2 = 16 + 6g Solving for variable 'g'. Reorder the terms: -16 + -6g + g2 = 16 + 6g + -16 + -6g Reorder the terms: -16 + -6g + g2 = 16 + -16 + 6g + -6g Combine like terms: 16 + -16 = 0 -16 + -6g + g2 = 0 + 6g + -6g -16 + -6g + g2 = 6g + -6g Combine like terms: 6g + -6g = 0 -16 + -6g + g2 = 0 Factor a trinomial. (-2 + -1g)(8 + -1g) = 0Subproblem 1
Set the factor '(-2 + -1g)' equal to zero and attempt to solve: Simplifying -2 + -1g = 0 Solving -2 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1g = 0 + 2 -1g = 0 + 2 Combine like terms: 0 + 2 = 2 -1g = 2 Divide each side by '-1'. g = -2 Simplifying g = -2Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve: Simplifying 8 + -1g = 0 Solving 8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1g = 0 + -8 -1g = 0 + -8 Combine like terms: 0 + -8 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8Solution
g = {-2, 8}
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