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Simplifying 17x2 + -5x + 13 = 0 Reorder the terms: 13 + -5x + 17x2 = 0 Solving 13 + -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'. 0.7647058824 + -0.2941176471x + x2 = 0 Move the constant term to the right: Add '-0.7647058824' to each side of the equation. 0.7647058824 + -0.2941176471x + -0.7647058824 + x2 = 0 + -0.7647058824 Reorder the terms: 0.7647058824 + -0.7647058824 + -0.2941176471x + x2 = 0 + -0.7647058824 Combine like terms: 0.7647058824 + -0.7647058824 = 0.0000000000 0.0000000000 + -0.2941176471x + x2 = 0 + -0.7647058824 -0.2941176471x + x2 = 0 + -0.7647058824 Combine like terms: 0 + -0.7647058824 = -0.7647058824 -0.2941176471x + x2 = -0.7647058824 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 = -0.7647058824 + 0.02162629760 Reorder the terms: 0.02162629760 + -0.2941176471x + x2 = -0.7647058824 + 0.02162629760 Combine like terms: -0.7647058824 + 0.02162629760 = -0.7430795848 0.02162629760 + -0.2941176471x + x2 = -0.7430795848 Factor a perfect square on the left side: (x + -0.1470588236)(x + -0.1470588236) = -0.7430795848 Can't calculate square root of the right side. The solution to this equation could not be determined.
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