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Simplifying 10g2 + 10g = 29g Reorder the terms: 10g + 10g2 = 29g Solving 10g + 10g2 = 29g Solving for variable 'g'. Reorder the terms: 10g + -29g + 10g2 = 29g + -29g Combine like terms: 10g + -29g = -19g -19g + 10g2 = 29g + -29g Combine like terms: 29g + -29g = 0 -19g + 10g2 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-19 + 10g) = 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 '(-19 + 10g)' equal to zero and attempt to solve: Simplifying -19 + 10g = 0 Solving -19 + 10g = 0 Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 10g = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 10g = 0 + 19 10g = 0 + 19 Combine like terms: 0 + 19 = 19 10g = 19 Divide each side by '10'. g = 1.9 Simplifying g = 1.9Solution
g = {0, 1.9}
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