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Simplifying g2 + 20g + 96 = 0 Reorder the terms: 96 + 20g + g2 = 0 Solving 96 + 20g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (12 + g)(8 + g) = 0Subproblem 1
Set the factor '(12 + g)' equal to zero and attempt to solve: Simplifying 12 + g = 0 Solving 12 + g = 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 + g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + g = 0 + -12 g = 0 + -12 Combine like terms: 0 + -12 = -12 g = -12 Simplifying g = -12Subproblem 2
Set the factor '(8 + g)' equal to zero and attempt to solve: Simplifying 8 + g = 0 Solving 8 + g = 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 + g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + g = 0 + -8 g = 0 + -8 Combine like terms: 0 + -8 = -8 g = -8 Simplifying g = -8Solution
g = {-12, -8}
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