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Simplifying g3 + 24g2 + 144g = 0 Reorder the terms: 144g + 24g2 + g3 = 0 Solving 144g + 24g2 + g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(144 + 24g + g2) = 0 Factor a trinomial. g((12 + g)(12 + 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 '(12 + g)' equal to zero and attempt to solve: Simplifying 12 + g = 0 Solving 12 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + g = 0 + -12 g = 0 + -12 Combine like terms: 0 + -12 = -12 g = -12 Simplifying g = -12Subproblem 3
Set the factor '(12 + g)' equal to zero and attempt to solve: Simplifying 12 + g = 0 Solving 12 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + g = 0 + -12 g = 0 + -12 Combine like terms: 0 + -12 = -12 g = -12 Simplifying g = -12Solution
g = {0, -12, -12}
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