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Simplifying (5g + -2g) + (2g2 + 6g) = 0 Combine like terms: 5g + -2g = 3g (3g) + (2g2 + 6g) = 0 (3g) + (2g2 + 6g) = 0 Reorder the terms: (3g) + (6g + 2g2) = 0 Remove parenthesis around (6g + 2g2) (3g) + 6g + 2g2 = 0 Combine like terms: (3g) + 6g = 9g 9g + 2g2 = 0 Solving 9g + 2g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(9 + 2g) = 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 + 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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