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Simplifying 17x2 + -6x + 8 = 2 Reorder the terms: 8 + -6x + 17x2 = 2 Solving 8 + -6x + 17x2 = 2 Solving for variable 'x'. Reorder the terms: 8 + -2 + -6x + 17x2 = 2 + -2 Combine like terms: 8 + -2 = 6 6 + -6x + 17x2 = 2 + -2 Combine like terms: 2 + -2 = 0 6 + -6x + 17x2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.3529411765 + -0.3529411765x + x2 = 0 Move the constant term to the right: Add '-0.3529411765' to each side of the equation. 0.3529411765 + -0.3529411765x + -0.3529411765 + x2 = 0 + -0.3529411765 Reorder the terms: 0.3529411765 + -0.3529411765 + -0.3529411765x + x2 = 0 + -0.3529411765 Combine like terms: 0.3529411765 + -0.3529411765 = 0.0000000000 0.0000000000 + -0.3529411765x + x2 = 0 + -0.3529411765 -0.3529411765x + x2 = 0 + -0.3529411765 Combine like terms: 0 + -0.3529411765 = -0.3529411765 -0.3529411765x + x2 = -0.3529411765 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 = -0.3529411765 + 0.03114186853 Reorder the terms: 0.03114186853 + -0.3529411765x + x2 = -0.3529411765 + 0.03114186853 Combine like terms: -0.3529411765 + 0.03114186853 = -0.32179930797 0.03114186853 + -0.3529411765x + x2 = -0.32179930797 Factor a perfect square on the left side: (x + -0.1764705883)(x + -0.1764705883) = -0.32179930797 Can't calculate square root of the right side. The solution to this equation could not be determined.
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