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Simplifying (5g + 2h)(5g + 2h)(5g + 2h) = 0 Multiply (5g + 2h) * (5g + 2h) (5g * (5g + 2h) + 2h * (5g + 2h))(5g + 2h) = 0 ((5g * 5g + 2h * 5g) + 2h * (5g + 2h))(5g + 2h) = 0 Reorder the terms: ((10gh + 25g2) + 2h * (5g + 2h))(5g + 2h) = 0 ((10gh + 25g2) + 2h * (5g + 2h))(5g + 2h) = 0 (10gh + 25g2 + (5g * 2h + 2h * 2h))(5g + 2h) = 0 (10gh + 25g2 + (10gh + 4h2))(5g + 2h) = 0 Reorder the terms: (10gh + 10gh + 25g2 + 4h2)(5g + 2h) = 0 Combine like terms: 10gh + 10gh = 20gh (20gh + 25g2 + 4h2)(5g + 2h) = 0 Multiply (20gh + 25g2 + 4h2) * (5g + 2h) (20gh * (5g + 2h) + 25g2 * (5g + 2h) + 4h2 * (5g + 2h)) = 0 ((5g * 20gh + 2h * 20gh) + 25g2 * (5g + 2h) + 4h2 * (5g + 2h)) = 0 Reorder the terms: ((40gh2 + 100g2h) + 25g2 * (5g + 2h) + 4h2 * (5g + 2h)) = 0 ((40gh2 + 100g2h) + 25g2 * (5g + 2h) + 4h2 * (5g + 2h)) = 0 (40gh2 + 100g2h + (5g * 25g2 + 2h * 25g2) + 4h2 * (5g + 2h)) = 0 Reorder the terms: (40gh2 + 100g2h + (50g2h + 125g3) + 4h2 * (5g + 2h)) = 0 (40gh2 + 100g2h + (50g2h + 125g3) + 4h2 * (5g + 2h)) = 0 (40gh2 + 100g2h + 50g2h + 125g3 + (5g * 4h2 + 2h * 4h2)) = 0 (40gh2 + 100g2h + 50g2h + 125g3 + (20gh2 + 8h3)) = 0 Reorder the terms: (40gh2 + 20gh2 + 100g2h + 50g2h + 125g3 + 8h3) = 0 Combine like terms: 40gh2 + 20gh2 = 60gh2 (60gh2 + 100g2h + 50g2h + 125g3 + 8h3) = 0 Combine like terms: 100g2h + 50g2h = 150g2h (60gh2 + 150g2h + 125g3 + 8h3) = 0 Solving 60gh2 + 150g2h + 125g3 + 8h3 = 0 Solving for variable 'g'. The solution to this equation could not be determined.
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