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Simplifying 0.055x2 = 0.0001 + -0.002x + x2 Solving 0.055x2 = 0.0001 + -0.002x + x2 Solving for variable 'x'. Reorder the terms: -0.0001 + 0.002x + 0.055x2 + -1x2 = 0.0001 + -0.002x + x2 + -0.0001 + 0.002x + -1x2 Combine like terms: 0.055x2 + -1x2 = -0.945x2 -0.0001 + 0.002x + -0.945x2 = 0.0001 + -0.002x + x2 + -0.0001 + 0.002x + -1x2 Reorder the terms: -0.0001 + 0.002x + -0.945x2 = 0.0001 + -0.0001 + -0.002x + 0.002x + x2 + -1x2 Combine like terms: 0.0001 + -0.0001 = 0.0000 -0.0001 + 0.002x + -0.945x2 = 0.0000 + -0.002x + 0.002x + x2 + -1x2 -0.0001 + 0.002x + -0.945x2 = -0.002x + 0.002x + x2 + -1x2 Combine like terms: -0.002x + 0.002x = 0.000 -0.0001 + 0.002x + -0.945x2 = 0.000 + x2 + -1x2 -0.0001 + 0.002x + -0.945x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -0.0001 + 0.002x + -0.945x2 = 0 Begin completing the square. Divide all terms by -0.945 the coefficient of the squared term: Divide each side by '-0.945'. 0.0001058201058 + -0.002116402116x + x2 = 0 Move the constant term to the right: Add '-0.0001058201058' to each side of the equation. 0.0001058201058 + -0.002116402116x + -0.0001058201058 + x2 = 0 + -0.0001058201058 Reorder the terms: 0.0001058201058 + -0.0001058201058 + -0.002116402116x + x2 = 0 + -0.0001058201058 Combine like terms: 0.0001058201058 + -0.0001058201058 = 0.0000000000000 0.0000000000000 + -0.002116402116x + x2 = 0 + -0.0001058201058 -0.002116402116x + x2 = 0 + -0.0001058201058 Combine like terms: 0 + -0.0001058201058 = -0.0001058201058 -0.002116402116x + x2 = -0.0001058201058 The x term is -0.002116402116x. Take half its coefficient (-0.001058201058). Square it (0.000001119789479) and add it to both sides. Add '0.000001119789479' to each side of the equation. -0.002116402116x + 0.000001119789479 + x2 = -0.0001058201058 + 0.000001119789479 Reorder the terms: 0.000001119789479 + -0.002116402116x + x2 = -0.0001058201058 + 0.000001119789479 Combine like terms: -0.0001058201058 + 0.000001119789479 = -0.000104700316321 0.000001119789479 + -0.002116402116x + x2 = -0.000104700316321 Factor a perfect square on the left side: (x + -0.001058201058)(x + -0.001058201058) = -0.000104700316321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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