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Simplifying g2 + 2g + 0.4 = 0.9g + g Reorder the terms: 0.4 + 2g + g2 = 0.9g + g Combine like terms: 0.9g + g = 1.9g 0.4 + 2g + g2 = 1.9g Solving 0.4 + 2g + g2 = 1.9g Solving for variable 'g'. Reorder the terms: 0.4 + 2g + -1.9g + g2 = 1.9g + -1.9g Combine like terms: 2g + -1.9g = 0.1g 0.4 + 0.1g + g2 = 1.9g + -1.9g Combine like terms: 1.9g + -1.9g = 0.0 0.4 + 0.1g + g2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.1g + -0.4 + g2 = 0.0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.1g + g2 = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1g + g2 = 0.0 + -0.4 0.1g + g2 = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 0.1g + g2 = -0.4 The g term is 0.1g. Take half its coefficient (0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. 0.1g + 0.0025 + g2 = -0.4 + 0.0025 Reorder the terms: 0.0025 + 0.1g + g2 = -0.4 + 0.0025 Combine like terms: -0.4 + 0.0025 = -0.3975 0.0025 + 0.1g + g2 = -0.3975 Factor a perfect square on the left side: (g + 0.05)(g + 0.05) = -0.3975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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