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Simplifying 0 = 0.001(0.732x2 + 15.417x + 605.738) Reorder the terms: 0 = 0.001(605.738 + 15.417x + 0.732x2) 0 = (605.738 * 0.001 + 15.417x * 0.001 + 0.732x2 * 0.001) 0 = (0.605738 + 0.015417x + 0.000732x2) Solving 0 = 0.605738 + 0.015417x + 0.000732x2 Solving for variable 'x'. Combine like terms: 0 + -0.605738 = -0.605738 -0.605738 + -0.015417x + -0.000732x2 = 0.605738 + 0.015417x + 0.000732x2 + -0.605738 + -0.015417x + -0.000732x2 Reorder the terms: -0.605738 + -0.015417x + -0.000732x2 = 0.605738 + -0.605738 + 0.015417x + -0.015417x + 0.000732x2 + -0.000732x2 Combine like terms: 0.605738 + -0.605738 = 0.000000 -0.605738 + -0.015417x + -0.000732x2 = 0.000000 + 0.015417x + -0.015417x + 0.000732x2 + -0.000732x2 -0.605738 + -0.015417x + -0.000732x2 = 0.015417x + -0.015417x + 0.000732x2 + -0.000732x2 Combine like terms: 0.015417x + -0.015417x = 0.000000 -0.605738 + -0.015417x + -0.000732x2 = 0.000000 + 0.000732x2 + -0.000732x2 -0.605738 + -0.015417x + -0.000732x2 = 0.000732x2 + -0.000732x2 Combine like terms: 0.000732x2 + -0.000732x2 = 0.000000 -0.605738 + -0.015417x + -0.000732x2 = 0.000000 Begin completing the square. Divide all terms by -0.000732 the coefficient of the squared term: Divide each side by '-0.000732'. 827.510929 + 21.06147541x + x2 = 0 Move the constant term to the right: Add '-827.510929' to each side of the equation. 827.510929 + 21.06147541x + -827.510929 + x2 = 0 + -827.510929 Reorder the terms: 827.510929 + -827.510929 + 21.06147541x + x2 = 0 + -827.510929 Combine like terms: 827.510929 + -827.510929 = 0.000000 0.000000 + 21.06147541x + x2 = 0 + -827.510929 21.06147541x + x2 = 0 + -827.510929 Combine like terms: 0 + -827.510929 = -827.510929 21.06147541x + x2 = -827.510929 The x term is 21.06147541x. Take half its coefficient (10.53073771). Square it (110.8964367) and add it to both sides. Add '110.8964367' to each side of the equation. 21.06147541x + 110.8964367 + x2 = -827.510929 + 110.8964367 Reorder the terms: 110.8964367 + 21.06147541x + x2 = -827.510929 + 110.8964367 Combine like terms: -827.510929 + 110.8964367 = -716.6144923 110.8964367 + 21.06147541x + x2 = -716.6144923 Factor a perfect square on the left side: (x + 10.53073771)(x + 10.53073771) = -716.6144923 Can't calculate square root of the right side. The solution to this equation could not be determined.
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