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Simplifying 0.166x2 + 3 = x Reorder the terms: 3 + 0.166x2 = x Solving 3 + 0.166x2 = x Solving for variable 'x'. Reorder the terms: 3 + -1x + 0.166x2 = x + -1x Combine like terms: x + -1x = 0 3 + -1x + 0.166x2 = 0 Begin completing the square. Divide all terms by 0.166 the coefficient of the squared term: Divide each side by '0.166'. 18.07228916 + -6.024096386x + x2 = 0 Move the constant term to the right: Add '-18.07228916' to each side of the equation. 18.07228916 + -6.024096386x + -18.07228916 + x2 = 0 + -18.07228916 Reorder the terms: 18.07228916 + -18.07228916 + -6.024096386x + x2 = 0 + -18.07228916 Combine like terms: 18.07228916 + -18.07228916 = 0.00000000 0.00000000 + -6.024096386x + x2 = 0 + -18.07228916 -6.024096386x + x2 = 0 + -18.07228916 Combine like terms: 0 + -18.07228916 = -18.07228916 -6.024096386x + x2 = -18.07228916 The x term is -6.024096386x. Take half its coefficient (-3.012048193). Square it (9.072434317) and add it to both sides. Add '9.072434317' to each side of the equation. -6.024096386x + 9.072434317 + x2 = -18.07228916 + 9.072434317 Reorder the terms: 9.072434317 + -6.024096386x + x2 = -18.07228916 + 9.072434317 Combine like terms: -18.07228916 + 9.072434317 = -8.999854843 9.072434317 + -6.024096386x + x2 = -8.999854843 Factor a perfect square on the left side: (x + -3.012048193)(x + -3.012048193) = -8.999854843 Can't calculate square root of the right side. The solution to this equation could not be determined.
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