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Simplifying 3g2 + 2g2 + -4g = 0 Reorder the terms: -4g + 3g2 + 2g2 = 0 Combine like terms: 3g2 + 2g2 = 5g2 -4g + 5g2 = 0 Solving -4g + 5g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-4 + 5g) = 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 '(-4 + 5g)' equal to zero and attempt to solve: Simplifying -4 + 5g = 0 Solving -4 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5g = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5g = 0 + 4 5g = 0 + 4 Combine like terms: 0 + 4 = 4 5g = 4 Divide each side by '5'. g = 0.8 Simplifying g = 0.8Solution
g = {0, 0.8}
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