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Simplifying 4g2 + -2g = 0 Reorder the terms: -2g + 4g2 = 0 Solving -2g + 4g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(-1 + 2g) = 0 Ignore the factor 2.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 '(-1 + 2g)' equal to zero and attempt to solve: Simplifying -1 + 2g = 0 Solving -1 + 2g = 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 + 2g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2g = 0 + 1 2g = 0 + 1 Combine like terms: 0 + 1 = 1 2g = 1 Divide each side by '2'. g = 0.5 Simplifying g = 0.5Solution
g = {0, 0.5}
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