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Simplifying 6g2 + 74g + 24 = 0 Reorder the terms: 24 + 74g + 6g2 = 0 Solving 24 + 74g + 6g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 37g + 3g2) = 0 Factor a trinomial. 2((12 + g)(1 + 3g)) = 0 Ignore the factor 2.Subproblem 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 '(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 = {-12, -0.3333333333}
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