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Simplifying 2g2 + 4g2 = 12g3 Combine like terms: 2g2 + 4g2 = 6g2 6g2 = 12g3 Solving 6g2 = 12g3 Solving for variable 'g'. Combine like terms: 12g3 + -12g3 = 0 6g2 + -12g3 = 0 Factor out the Greatest Common Factor (GCF), '6g2'. 6g2(1 + -2g) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve: Simplifying 1 + -2g = 0 Solving 1 + -2g = 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 + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = 0 + -1 -2g = 0 + -1 Combine like terms: 0 + -1 = -1 -2g = -1 Divide each side by '-2'. g = 0.5 Simplifying g = 0.5Solution
g = {0, 0.5}
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