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Simplifying 3g2 + 15g + 37 = 0 Reorder the terms: 37 + 15g + 3g2 = 0 Solving 37 + 15g + 3g2 = 0 Solving for variable 'g'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12.33333333 + 5g + g2 = 0 Move the constant term to the right: Add '-12.33333333' to each side of the equation. 12.33333333 + 5g + -12.33333333 + g2 = 0 + -12.33333333 Reorder the terms: 12.33333333 + -12.33333333 + 5g + g2 = 0 + -12.33333333 Combine like terms: 12.33333333 + -12.33333333 = 0.00000000 0.00000000 + 5g + g2 = 0 + -12.33333333 5g + g2 = 0 + -12.33333333 Combine like terms: 0 + -12.33333333 = -12.33333333 5g + g2 = -12.33333333 The g term is 5g. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5g + 6.25 + g2 = -12.33333333 + 6.25 Reorder the terms: 6.25 + 5g + g2 = -12.33333333 + 6.25 Combine like terms: -12.33333333 + 6.25 = -6.08333333 6.25 + 5g + g2 = -6.08333333 Factor a perfect square on the left side: (g + 2.5)(g + 2.5) = -6.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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