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Simplifying g2 + 7g + 24 = 0 Reorder the terms: 24 + 7g + g2 = 0 Solving 24 + 7g + g2 = 0 Solving for variable 'g'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 7g + -24 + g2 = 0 + -24 Reorder the terms: 24 + -24 + 7g + g2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7g + g2 = 0 + -24 7g + g2 = 0 + -24 Combine like terms: 0 + -24 = -24 7g + g2 = -24 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 = -24 + 12.25 Reorder the terms: 12.25 + 7g + g2 = -24 + 12.25 Combine like terms: -24 + 12.25 = -11.75 12.25 + 7g + g2 = -11.75 Factor a perfect square on the left side: (g + 3.5)(g + 3.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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