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Simplifying 54x2 + -263x = -834 Reorder the terms: -263x + 54x2 = -834 Solving -263x + 54x2 = -834 Solving for variable 'x'. Reorder the terms: 834 + -263x + 54x2 = -834 + 834 Combine like terms: -834 + 834 = 0 834 + -263x + 54x2 = 0 Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 15.44444444 + -4.87037037x + x2 = 0 Move the constant term to the right: Add '-15.44444444' to each side of the equation. 15.44444444 + -4.87037037x + -15.44444444 + x2 = 0 + -15.44444444 Reorder the terms: 15.44444444 + -15.44444444 + -4.87037037x + x2 = 0 + -15.44444444 Combine like terms: 15.44444444 + -15.44444444 = 0.00000000 0.00000000 + -4.87037037x + x2 = 0 + -15.44444444 -4.87037037x + x2 = 0 + -15.44444444 Combine like terms: 0 + -15.44444444 = -15.44444444 -4.87037037x + x2 = -15.44444444 The x term is -4.87037037x. Take half its coefficient (-2.435185185). Square it (5.930126885) and add it to both sides. Add '5.930126885' to each side of the equation. -4.87037037x + 5.930126885 + x2 = -15.44444444 + 5.930126885 Reorder the terms: 5.930126885 + -4.87037037x + x2 = -15.44444444 + 5.930126885 Combine like terms: -15.44444444 + 5.930126885 = -9.514317555 5.930126885 + -4.87037037x + x2 = -9.514317555 Factor a perfect square on the left side: (x + -2.435185185)(x + -2.435185185) = -9.514317555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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