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Simplifying x = 17x2 + -5x + 3 Reorder the terms: x = 3 + -5x + 17x2 Solving x = 3 + -5x + 17x2 Solving for variable 'x'. Reorder the terms: -3 + x + 5x + -17x2 = 3 + -5x + 17x2 + -3 + 5x + -17x2 Combine like terms: x + 5x = 6x -3 + 6x + -17x2 = 3 + -5x + 17x2 + -3 + 5x + -17x2 Reorder the terms: -3 + 6x + -17x2 = 3 + -3 + -5x + 5x + 17x2 + -17x2 Combine like terms: 3 + -3 = 0 -3 + 6x + -17x2 = 0 + -5x + 5x + 17x2 + -17x2 -3 + 6x + -17x2 = -5x + 5x + 17x2 + -17x2 Combine like terms: -5x + 5x = 0 -3 + 6x + -17x2 = 0 + 17x2 + -17x2 -3 + 6x + -17x2 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 -3 + 6x + -17x2 = 0 Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. 0.1764705882 + -0.3529411765x + x2 = 0 Move the constant term to the right: Add '-0.1764705882' to each side of the equation. 0.1764705882 + -0.3529411765x + -0.1764705882 + x2 = 0 + -0.1764705882 Reorder the terms: 0.1764705882 + -0.1764705882 + -0.3529411765x + x2 = 0 + -0.1764705882 Combine like terms: 0.1764705882 + -0.1764705882 = 0.0000000000 0.0000000000 + -0.3529411765x + x2 = 0 + -0.1764705882 -0.3529411765x + x2 = 0 + -0.1764705882 Combine like terms: 0 + -0.1764705882 = -0.1764705882 -0.3529411765x + x2 = -0.1764705882 The x term is -0.3529411765x. Take half its coefficient (-0.1764705883). Square it (0.03114186853) and add it to both sides. Add '0.03114186853' to each side of the equation. -0.3529411765x + 0.03114186853 + x2 = -0.1764705882 + 0.03114186853 Reorder the terms: 0.03114186853 + -0.3529411765x + x2 = -0.1764705882 + 0.03114186853 Combine like terms: -0.1764705882 + 0.03114186853 = -0.14532871967 0.03114186853 + -0.3529411765x + x2 = -0.14532871967 Factor a perfect square on the left side: (x + -0.1764705883)(x + -0.1764705883) = -0.14532871967 Can't calculate square root of the right side. The solution to this equation could not be determined.
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