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Simplifying 2g3 + -14g2 + 120g = 0 Reorder the terms: 120g + -14g2 + 2g3 = 0 Solving 120g + -14g2 + 2g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(60 + -7g + g2) = 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 '(60 + -7g + g2)' equal to zero and attempt to solve: Simplifying 60 + -7g + g2 = 0 Solving 60 + -7g + g2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -7g + -60 + g2 = 0 + -60 Reorder the terms: 60 + -60 + -7g + g2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -7g + g2 = 0 + -60 -7g + g2 = 0 + -60 Combine like terms: 0 + -60 = -60 -7g + g2 = -60 The g term is -7g. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7g + 12.25 + g2 = -60 + 12.25 Reorder the terms: 12.25 + -7g + g2 = -60 + 12.25 Combine like terms: -60 + 12.25 = -47.75 12.25 + -7g + g2 = -47.75 Factor a perfect square on the left side: (g + -3.5)(g + -3.5) = -47.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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