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Simplifying 0 = 4g2 + 12g Reorder the terms: 0 = 12g + 4g2 Solving 0 = 12g + 4g2 Solving for variable 'g'. Remove the zero: -12g + -4g2 = 12g + 4g2 + -12g + -4g2 Reorder the terms: -12g + -4g2 = 12g + -12g + 4g2 + -4g2 Combine like terms: 12g + -12g = 0 -12g + -4g2 = 0 + 4g2 + -4g2 -12g + -4g2 = 4g2 + -4g2 Combine like terms: 4g2 + -4g2 = 0 -12g + -4g2 = 0 Factor out the Greatest Common Factor (GCF), '-4g'. -4g(3 + g) = 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 '(3 + g)' equal to zero and attempt to solve: Simplifying 3 + g = 0 Solving 3 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + g = 0 + -3 g = 0 + -3 Combine like terms: 0 + -3 = -3 g = -3 Simplifying g = -3Solution
g = {0, -3}
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