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Simplifying 17x2 + 32x + 17 = 0 Reorder the terms: 17 + 32x + 17x2 = 0 Solving 17 + 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'. 1 + 1.882352941x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.882352941x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.882352941x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.882352941x + x2 = 0 + -1 1.882352941x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.882352941x + x2 = -1 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 = -1 + 0.8858131486 Reorder the terms: 0.8858131486 + 1.882352941x + x2 = -1 + 0.8858131486 Combine like terms: -1 + 0.8858131486 = -0.1141868514 0.8858131486 + 1.882352941x + x2 = -0.1141868514 Factor a perfect square on the left side: (x + 0.9411764705)(x + 0.9411764705) = -0.1141868514 Can't calculate square root of the right side. The solution to this equation could not be determined.
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