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Simplifying 20x2 + 127x + 204 = 0 Reorder the terms: 204 + 127x + 20x2 = 0 Solving 204 + 127x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 10.2 + 6.35x + x2 = 0 Move the constant term to the right: Add '-10.2' to each side of the equation. 10.2 + 6.35x + -10.2 + x2 = 0 + -10.2 Reorder the terms: 10.2 + -10.2 + 6.35x + x2 = 0 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 6.35x + x2 = 0 + -10.2 6.35x + x2 = 0 + -10.2 Combine like terms: 0 + -10.2 = -10.2 6.35x + x2 = -10.2 The x term is 6.35x. Take half its coefficient (3.175). Square it (10.080625) and add it to both sides. Add '10.080625' to each side of the equation. 6.35x + 10.080625 + x2 = -10.2 + 10.080625 Reorder the terms: 10.080625 + 6.35x + x2 = -10.2 + 10.080625 Combine like terms: -10.2 + 10.080625 = -0.119375 10.080625 + 6.35x + x2 = -0.119375 Factor a perfect square on the left side: (x + 3.175)(x + 3.175) = -0.119375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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