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Simplifying 12g2 + 4g = 0 Reorder the terms: 4g + 12g2 = 0 Solving 4g + 12g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '4g'. 4g(1 + 3g) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 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, -0.3333333333}
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