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Simplifying -10x2 + 50x2 + -55x + 23 = 0 Reorder the terms: 23 + -55x + -10x2 + 50x2 = 0 Combine like terms: -10x2 + 50x2 = 40x2 23 + -55x + 40x2 = 0 Solving 23 + -55x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 0.575 + -1.375x + x2 = 0.0 Move the constant term to the right: Add '-0.575' to each side of the equation. 0.575 + -1.375x + -0.575 + x2 = 0.0 + -0.575 Reorder the terms: 0.575 + -0.575 + -1.375x + x2 = 0.0 + -0.575 Combine like terms: 0.575 + -0.575 = 0.000 0.000 + -1.375x + x2 = 0.0 + -0.575 -1.375x + x2 = 0.0 + -0.575 Combine like terms: 0.0 + -0.575 = -0.575 -1.375x + x2 = -0.575 The x term is -1.375x. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375x + 0.47265625 + x2 = -0.575 + 0.47265625 Reorder the terms: 0.47265625 + -1.375x + x2 = -0.575 + 0.47265625 Combine like terms: -0.575 + 0.47265625 = -0.10234375 0.47265625 + -1.375x + x2 = -0.10234375 Factor a perfect square on the left side: (x + -0.6875)(x + -0.6875) = -0.10234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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