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Simplifying 41x2 + 1 = 10x Reorder the terms: 1 + 41x2 = 10x Solving 1 + 41x2 = 10x Solving for variable 'x'. Reorder the terms: 1 + -10x + 41x2 = 10x + -10x Combine like terms: 10x + -10x = 0 1 + -10x + 41x2 = 0 Begin completing the square. Divide all terms by 41 the coefficient of the squared term: Divide each side by '41'. 0.0243902439 + -0.243902439x + x2 = 0 Move the constant term to the right: Add '-0.0243902439' to each side of the equation. 0.0243902439 + -0.243902439x + -0.0243902439 + x2 = 0 + -0.0243902439 Reorder the terms: 0.0243902439 + -0.0243902439 + -0.243902439x + x2 = 0 + -0.0243902439 Combine like terms: 0.0243902439 + -0.0243902439 = 0.0000000000 0.0000000000 + -0.243902439x + x2 = 0 + -0.0243902439 -0.243902439x + x2 = 0 + -0.0243902439 Combine like terms: 0 + -0.0243902439 = -0.0243902439 -0.243902439x + x2 = -0.0243902439 The x term is -0.243902439x. Take half its coefficient (-0.1219512195). Square it (0.01487209994) and add it to both sides. Add '0.01487209994' to each side of the equation. -0.243902439x + 0.01487209994 + x2 = -0.0243902439 + 0.01487209994 Reorder the terms: 0.01487209994 + -0.243902439x + x2 = -0.0243902439 + 0.01487209994 Combine like terms: -0.0243902439 + 0.01487209994 = -0.00951814396 0.01487209994 + -0.243902439x + x2 = -0.00951814396 Factor a perfect square on the left side: (x + -0.1219512195)(x + -0.1219512195) = -0.00951814396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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