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Simplifying 20x2 + 7x + 3 = 0 Reorder the terms: 3 + 7x + 20x2 = 0 Solving 3 + 7x + 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'. 0.15 + 0.35x + x2 = 0 Move the constant term to the right: Add '-0.15' to each side of the equation. 0.15 + 0.35x + -0.15 + x2 = 0 + -0.15 Reorder the terms: 0.15 + -0.15 + 0.35x + x2 = 0 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.35x + x2 = 0 + -0.15 0.35x + x2 = 0 + -0.15 Combine like terms: 0 + -0.15 = -0.15 0.35x + x2 = -0.15 The x term is 0.35x. Take half its coefficient (0.175). Square it (0.030625) and add it to both sides. Add '0.030625' to each side of the equation. 0.35x + 0.030625 + x2 = -0.15 + 0.030625 Reorder the terms: 0.030625 + 0.35x + x2 = -0.15 + 0.030625 Combine like terms: -0.15 + 0.030625 = -0.119375 0.030625 + 0.35x + x2 = -0.119375 Factor a perfect square on the left side: (x + 0.175)(x + 0.175) = -0.119375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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