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Simplifying 12g2 = 16g Solving 12g2 = 16g Solving for variable 'g'. Reorder the terms: -16g + 12g2 = 16g + -16g Combine like terms: 16g + -16g = 0 -16g + 12g2 = 0 Factor out the Greatest Common Factor (GCF), '4g'. 4g(-4 + 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 '(-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 = {0, 1.333333333}
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