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Simplifying -1g + 2(3 + g) = -4g(g + 1) -1g + (3 * 2 + g * 2) = -4g(g + 1) -1g + (6 + 2g) = -4g(g + 1) Reorder the terms: 6 + -1g + 2g = -4g(g + 1) Combine like terms: -1g + 2g = 1g 6 + 1g = -4g(g + 1) Reorder the terms: 6 + 1g = -4g(1 + g) 6 + 1g = (1 * -4g + g * -4g) 6 + 1g = (-4g + -4g2) Solving 6 + 1g = -4g + -4g2 Solving for variable 'g'. Combine like terms: 1g + 4g = 5g 6 + 5g + 4g2 = -4g + -4g2 + 4g + 4g2 Reorder the terms: 6 + 5g + 4g2 = -4g + 4g + -4g2 + 4g2 Combine like terms: -4g + 4g = 0 6 + 5g + 4g2 = 0 + -4g2 + 4g2 6 + 5g + 4g2 = -4g2 + 4g2 Combine like terms: -4g2 + 4g2 = 0 6 + 5g + 4g2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.5 + 1.25g + g2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 1.25g + -1.5 + g2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 1.25g + g2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.25g + g2 = 0 + -1.5 1.25g + g2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 1.25g + g2 = -1.5 The g term is 1.25g. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25g + 0.390625 + g2 = -1.5 + 0.390625 Reorder the terms: 0.390625 + 1.25g + g2 = -1.5 + 0.390625 Combine like terms: -1.5 + 0.390625 = -1.109375 0.390625 + 1.25g + g2 = -1.109375 Factor a perfect square on the left side: (g + 0.625)(g + 0.625) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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