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Simplifying 9g(2g + 5) = 0 Reorder the terms: 9g(5 + 2g) = 0 (5 * 9g + 2g * 9g) = 0 (45g + 18g2) = 0 Solving 45g + 18g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '9g'. 9g(5 + 2g) = 0 Ignore the factor 9.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 '(5 + 2g)' equal to zero and attempt to solve: Simplifying 5 + 2g = 0 Solving 5 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2g = 0 + -5 2g = 0 + -5 Combine like terms: 0 + -5 = -5 2g = -5 Divide each side by '2'. g = -2.5 Simplifying g = -2.5Solution
g = {0, -2.5}
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