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Simplifying x2 + 2x + 40 + x2 + -1x + 190 = 0 Reorder the terms: 40 + 190 + 2x + -1x + x2 + x2 = 0 Combine like terms: 40 + 190 = 230 230 + 2x + -1x + x2 + x2 = 0 Combine like terms: 2x + -1x = 1x 230 + 1x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 230 + 1x + 2x2 = 0 Solving 230 + 1x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 115 + 0.5x + x2 = 0 Move the constant term to the right: Add '-115' to each side of the equation. 115 + 0.5x + -115 + x2 = 0 + -115 Reorder the terms: 115 + -115 + 0.5x + x2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 0.5x + x2 = 0 + -115 0.5x + x2 = 0 + -115 Combine like terms: 0 + -115 = -115 0.5x + x2 = -115 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -115 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -115 + 0.0625 Combine like terms: -115 + 0.0625 = -114.9375 0.0625 + 0.5x + x2 = -114.9375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -114.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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