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Simplifying 6g2(g + -8) = 0 Reorder the terms: 6g2(-8 + g) = 0 (-8 * 6g2 + g * 6g2) = 0 (-48g2 + 6g3) = 0 Solving -48g2 + 6g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '6g2'. 6g2(-8 + g) = 0 Ignore the factor 6.Subproblem 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 '(-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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