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Simplifying 2g(2g + 9) = 0 Reorder the terms: 2g(9 + 2g) = 0 (9 * 2g + 2g * 2g) = 0 (18g + 4g2) = 0 Solving 18g + 4g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(9 + 2g) = 0 Ignore the factor 2.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 '(9 + 2g)' equal to zero and attempt to solve: Simplifying 9 + 2g = 0 Solving 9 + 2g = 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 + 2g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2g = 0 + -9 2g = 0 + -9 Combine like terms: 0 + -9 = -9 2g = -9 Divide each side by '2'. g = -4.5 Simplifying g = -4.5Solution
g = {0, -4.5}
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