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Simplifying 17x2 + 84x + 164 = 0 Reorder the terms: 164 + 84x + 17x2 = 0 Solving 164 + 84x + 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'. 9.647058824 + 4.941176471x + x2 = 0 Move the constant term to the right: Add '-9.647058824' to each side of the equation. 9.647058824 + 4.941176471x + -9.647058824 + x2 = 0 + -9.647058824 Reorder the terms: 9.647058824 + -9.647058824 + 4.941176471x + x2 = 0 + -9.647058824 Combine like terms: 9.647058824 + -9.647058824 = 0.000000000 0.000000000 + 4.941176471x + x2 = 0 + -9.647058824 4.941176471x + x2 = 0 + -9.647058824 Combine like terms: 0 + -9.647058824 = -9.647058824 4.941176471x + x2 = -9.647058824 The x term is 4.941176471x. Take half its coefficient (2.470588236). Square it (6.103806232) and add it to both sides. Add '6.103806232' to each side of the equation. 4.941176471x + 6.103806232 + x2 = -9.647058824 + 6.103806232 Reorder the terms: 6.103806232 + 4.941176471x + x2 = -9.647058824 + 6.103806232 Combine like terms: -9.647058824 + 6.103806232 = -3.543252592 6.103806232 + 4.941176471x + x2 = -3.543252592 Factor a perfect square on the left side: (x + 2.470588236)(x + 2.470588236) = -3.543252592 Can't calculate square root of the right side. The solution to this equation could not be determined.
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