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Simplifying 9g2 + 6g + 1 = 0 Reorder the terms: 1 + 6g + 9g2 = 0 Solving 1 + 6g + 9g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + 3g)(1 + 3g) = 0Subproblem 1
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 = -0.3333333333Subproblem 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 = {-0.3333333333, -0.3333333333}
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