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Simplifying 17x2 + 5x + 3 = 0 Reorder the terms: 3 + 5x + 17x2 = 0 Solving 3 + 5x + 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'. 0.1764705882 + 0.2941176471x + x2 = 0 Move the constant term to the right: Add '-0.1764705882' to each side of the equation. 0.1764705882 + 0.2941176471x + -0.1764705882 + x2 = 0 + -0.1764705882 Reorder the terms: 0.1764705882 + -0.1764705882 + 0.2941176471x + x2 = 0 + -0.1764705882 Combine like terms: 0.1764705882 + -0.1764705882 = 0.0000000000 0.0000000000 + 0.2941176471x + x2 = 0 + -0.1764705882 0.2941176471x + x2 = 0 + -0.1764705882 Combine like terms: 0 + -0.1764705882 = -0.1764705882 0.2941176471x + x2 = -0.1764705882 The x term is 0.2941176471x. Take half its coefficient (0.1470588236). Square it (0.02162629760) and add it to both sides. Add '0.02162629760' to each side of the equation. 0.2941176471x + 0.02162629760 + x2 = -0.1764705882 + 0.02162629760 Reorder the terms: 0.02162629760 + 0.2941176471x + x2 = -0.1764705882 + 0.02162629760 Combine like terms: -0.1764705882 + 0.02162629760 = -0.1548442906 0.02162629760 + 0.2941176471x + x2 = -0.1548442906 Factor a perfect square on the left side: (x + 0.1470588236)(x + 0.1470588236) = -0.1548442906 Can't calculate square root of the right side. The solution to this equation could not be determined.
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