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Simplifying g2 + -8g + -48g = 0 Reorder the terms: -8g + -48g + g2 = 0 Combine like terms: -8g + -48g = -56g -56g + g2 = 0 Solving -56g + g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(-56 + g) = 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 '(-56 + g)' equal to zero and attempt to solve: Simplifying -56 + g = 0 Solving -56 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + g = 0 + 56 Combine like terms: -56 + 56 = 0 0 + g = 0 + 56 g = 0 + 56 Combine like terms: 0 + 56 = 56 g = 56 Simplifying g = 56Solution
g = {0, 56}
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