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Simplifying 3g2 + 16g = -5 Reorder the terms: 16g + 3g2 = -5 Solving 16g + 3g2 = -5 Solving for variable 'g'. Reorder the terms: 5 + 16g + 3g2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 16g + 3g2 = 0 Factor a trinomial. (5 + g)(1 + 3g) = 0Subproblem 1
Set the factor '(5 + g)' equal to zero and attempt to solve: Simplifying 5 + g = 0 Solving 5 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + g = 0 + -5 g = 0 + -5 Combine like terms: 0 + -5 = -5 g = -5 Simplifying g = -5Subproblem 2
Set the factor '(1 + 3g)' equal to zero and attempt to solve: Simplifying 1 + 3g = 0 Solving 1 + 3g = 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 + 3g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3g = 0 + -1 3g = 0 + -1 Combine like terms: 0 + -1 = -1 3g = -1 Divide each side by '3'. g = -0.3333333333 Simplifying g = -0.3333333333Solution
g = {-5, -0.3333333333}
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