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Simplifying 0.1g2 + g = -0.4 Reorder the terms: g + 0.1g2 = -0.4 Solving g + 0.1g2 = -0.4 Solving for variable 'g'. Reorder the terms: 0.4 + g + 0.1g2 = -0.4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.4 + g + 0.1g2 = 0.0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 4 + 10g + g2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 10g + -4 + g2 = 0 + -4 Reorder the terms: 4 + -4 + 10g + g2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10g + g2 = 0 + -4 10g + g2 = 0 + -4 Combine like terms: 0 + -4 = -4 10g + g2 = -4 The g term is g. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 10g + 0.25 + g2 = -4 + 0.25 Reorder the terms: 0.25 + 10g + g2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + 10g + g2 = -3.75 Factor a perfect square on the left side: (g + 0.5)(g + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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