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Simplifying 20x2 + 19x + 10 = 0 Reorder the terms: 10 + 19x + 20x2 = 0 Solving 10 + 19x + 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'. 0.5 + 0.95x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.95x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.95x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.95x + x2 = 0 + -0.5 0.95x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.95x + x2 = -0.5 The x term is 0.95x. Take half its coefficient (0.475). Square it (0.225625) and add it to both sides. Add '0.225625' to each side of the equation. 0.95x + 0.225625 + x2 = -0.5 + 0.225625 Reorder the terms: 0.225625 + 0.95x + x2 = -0.5 + 0.225625 Combine like terms: -0.5 + 0.225625 = -0.274375 0.225625 + 0.95x + x2 = -0.274375 Factor a perfect square on the left side: (x + 0.475)(x + 0.475) = -0.274375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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