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Simplifying 17x2 + 32x + 16 = 0 Reorder the terms: 16 + 32x + 17x2 = 0 Solving 16 + 32x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.9411764706 + 1.882352941x + x2 = 0 Move the constant term to the right: Add '-0.9411764706' to each side of the equation. 0.9411764706 + 1.882352941x + -0.9411764706 + x2 = 0 + -0.9411764706 Reorder the terms: 0.9411764706 + -0.9411764706 + 1.882352941x + x2 = 0 + -0.9411764706 Combine like terms: 0.9411764706 + -0.9411764706 = 0.0000000000 0.0000000000 + 1.882352941x + x2 = 0 + -0.9411764706 1.882352941x + x2 = 0 + -0.9411764706 Combine like terms: 0 + -0.9411764706 = -0.9411764706 1.882352941x + x2 = -0.9411764706 The x term is 1.882352941x. Take half its coefficient (0.9411764705). Square it (0.8858131486) and add it to both sides. Add '0.8858131486' to each side of the equation. 1.882352941x + 0.8858131486 + x2 = -0.9411764706 + 0.8858131486 Reorder the terms: 0.8858131486 + 1.882352941x + x2 = -0.9411764706 + 0.8858131486 Combine like terms: -0.9411764706 + 0.8858131486 = -0.055363322 0.8858131486 + 1.882352941x + x2 = -0.055363322 Factor a perfect square on the left side: (x + 0.9411764705)(x + 0.9411764705) = -0.055363322 Can't calculate square root of the right side. The solution to this equation could not be determined.
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