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Simplifying 5g3 + -1g2 = 0 Reorder the terms: -1g2 + 5g3 = 0 Solving -1g2 + 5g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g2'. g2(-1 + 5g) = 0Subproblem 1
Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}Subproblem 2
Set the factor '(-1 + 5g)' equal to zero and attempt to solve: Simplifying -1 + 5g = 0 Solving -1 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5g = 0 + 1 5g = 0 + 1 Combine like terms: 0 + 1 = 1 5g = 1 Divide each side by '5'. g = 0.2 Simplifying g = 0.2Solution
g = {0, 0.2}
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