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Simplifying 19x2 + 2x + 19 = 0 Reorder the terms: 19 + 2x + 19x2 = 0 Solving 19 + 2x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 1 + 0.1052631579x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.1052631579x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.1052631579x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1052631579x + x2 = 0 + -1 0.1052631579x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.1052631579x + x2 = -1 The x term is 0.1052631579x. Take half its coefficient (0.05263157895). Square it (0.002770083103) and add it to both sides. Add '0.002770083103' to each side of the equation. 0.1052631579x + 0.002770083103 + x2 = -1 + 0.002770083103 Reorder the terms: 0.002770083103 + 0.1052631579x + x2 = -1 + 0.002770083103 Combine like terms: -1 + 0.002770083103 = -0.997229916897 0.002770083103 + 0.1052631579x + x2 = -0.997229916897 Factor a perfect square on the left side: (x + 0.05263157895)(x + 0.05263157895) = -0.997229916897 Can't calculate square root of the right side. The solution to this equation could not be determined.
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