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Simplifying 4g2 = 32g Solving 4g2 = 32g Solving for variable 'g'. Reorder the terms: -32g + 4g2 = 32g + -32g Combine like terms: 32g + -32g = 0 -32g + 4g2 = 0 Factor out the Greatest Common Factor (GCF), '4g'. 4g(-8 + g) = 0 Ignore the factor 4.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 '(-8 + g)' equal to zero and attempt to solve: Simplifying -8 + g = 0 Solving -8 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + g = 0 + 8 g = 0 + 8 Combine like terms: 0 + 8 = 8 g = 8 Simplifying g = 8Solution
g = {0, 8}
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