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Simplifying 24x2 + -41x + 105 = 0 Reorder the terms: 105 + -41x + 24x2 = 0 Solving 105 + -41x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 4.375 + -1.708333333x + x2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + -1.708333333x + -4.375 + x2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + -1.708333333x + x2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + -1.708333333x + x2 = 0 + -4.375 -1.708333333x + x2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 -1.708333333x + x2 = -4.375 The x term is -1.708333333x. Take half its coefficient (-0.8541666665). Square it (0.7296006942) and add it to both sides. Add '0.7296006942' to each side of the equation. -1.708333333x + 0.7296006942 + x2 = -4.375 + 0.7296006942 Reorder the terms: 0.7296006942 + -1.708333333x + x2 = -4.375 + 0.7296006942 Combine like terms: -4.375 + 0.7296006942 = -3.6453993058 0.7296006942 + -1.708333333x + x2 = -3.6453993058 Factor a perfect square on the left side: (x + -0.8541666665)(x + -0.8541666665) = -3.6453993058 Can't calculate square root of the right side. The solution to this equation could not be determined.
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