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Simplifying 10g2 + 10 = 9g Reorder the terms: 10 + 10g2 = 9g Solving 10 + 10g2 = 9g Solving for variable 'g'. Reorder the terms: 10 + -9g + 10g2 = 9g + -9g Combine like terms: 9g + -9g = 0 10 + -9g + 10g2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1 + -0.9g + g2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.9g + -1 + g2 = 0 + -1 Reorder the terms: 1 + -1 + -0.9g + g2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.9g + g2 = 0 + -1 -0.9g + g2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.9g + g2 = -1 The g term is -0.9g. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9g + 0.2025 + g2 = -1 + 0.2025 Reorder the terms: 0.2025 + -0.9g + g2 = -1 + 0.2025 Combine like terms: -1 + 0.2025 = -0.7975 0.2025 + -0.9g + g2 = -0.7975 Factor a perfect square on the left side: (g + -0.45)(g + -0.45) = -0.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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