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Simplifying 9g(g) + 24g + 16 = 0 Multiply g * g 9g2 + 24g + 16 = 0 Reorder the terms: 16 + 24g + 9g2 = 0 Solving 16 + 24g + 9g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + 3g)(4 + 3g) = 0Subproblem 1
Set the factor '(4 + 3g)' equal to zero and attempt to solve: Simplifying 4 + 3g = 0 Solving 4 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3g = 0 + -4 3g = 0 + -4 Combine like terms: 0 + -4 = -4 3g = -4 Divide each side by '3'. g = -1.333333333 Simplifying g = -1.333333333Subproblem 2
Set the factor '(4 + 3g)' equal to zero and attempt to solve: Simplifying 4 + 3g = 0 Solving 4 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3g = 0 + -4 3g = 0 + -4 Combine like terms: 0 + -4 = -4 3g = -4 Divide each side by '3'. g = -1.333333333 Simplifying g = -1.333333333Solution
g = {-1.333333333, -1.333333333}
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