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Simplifying 3g(6g + 4) = 0 Reorder the terms: 3g(4 + 6g) = 0 (4 * 3g + 6g * 3g) = 0 (12g + 18g2) = 0 Solving 12g + 18g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '6g'. 6g(2 + 3g) = 0 Ignore the factor 6.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 '(2 + 3g)' equal to zero and attempt to solve: Simplifying 2 + 3g = 0 Solving 2 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3g = 0 + -2 3g = 0 + -2 Combine like terms: 0 + -2 = -2 3g = -2 Divide each side by '3'. g = -0.6666666667 Simplifying g = -0.6666666667Solution
g = {0, -0.6666666667}
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