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Simplifying g(4g + 3) + 3g(2 + -1g) = 0 Reorder the terms: g(3 + 4g) + 3g(2 + -1g) = 0 (3 * g + 4g * g) + 3g(2 + -1g) = 0 (3g + 4g2) + 3g(2 + -1g) = 0 3g + 4g2 + (2 * 3g + -1g * 3g) = 0 3g + 4g2 + (6g + -3g2) = 0 Reorder the terms: 3g + 6g + 4g2 + -3g2 = 0 Combine like terms: 3g + 6g = 9g 9g + 4g2 + -3g2 = 0 Combine like terms: 4g2 + -3g2 = 1g2 9g + 1g2 = 0 Solving 9g + 1g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(9 + g) = 0Subproblem 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 '(9 + g)' equal to zero and attempt to solve: Simplifying 9 + g = 0 Solving 9 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g = 0 + -9 g = 0 + -9 Combine like terms: 0 + -9 = -9 g = -9 Simplifying g = -9Solution
g = {0, -9}
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