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Simplifying -0.0018x2 + -0.06x = 5.5 Reorder the terms: -0.06x + -0.0018x2 = 5.5 Solving -0.06x + -0.0018x2 = 5.5 Solving for variable 'x'. Reorder the terms: -5.5 + -0.06x + -0.0018x2 = 5.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 -5.5 + -0.06x + -0.0018x2 = 0.0 Begin completing the square. Divide all terms by -0.0018 the coefficient of the squared term: Divide each side by '-0.0018'. 3055.555556 + 33.33333333x + x2 = 0 Move the constant term to the right: Add '-3055.555556' to each side of the equation. 3055.555556 + 33.33333333x + -3055.555556 + x2 = 0 + -3055.555556 Reorder the terms: 3055.555556 + -3055.555556 + 33.33333333x + x2 = 0 + -3055.555556 Combine like terms: 3055.555556 + -3055.555556 = 0.000000 0.000000 + 33.33333333x + x2 = 0 + -3055.555556 33.33333333x + x2 = 0 + -3055.555556 Combine like terms: 0 + -3055.555556 = -3055.555556 33.33333333x + x2 = -3055.555556 The x term is 33.33333333x. Take half its coefficient (16.66666667). Square it (277.7777779) and add it to both sides. Add '277.7777779' to each side of the equation. 33.33333333x + 277.7777779 + x2 = -3055.555556 + 277.7777779 Reorder the terms: 277.7777779 + 33.33333333x + x2 = -3055.555556 + 277.7777779 Combine like terms: -3055.555556 + 277.7777779 = -2777.7777781 277.7777779 + 33.33333333x + x2 = -2777.7777781 Factor a perfect square on the left side: (x + 16.66666667)(x + 16.66666667) = -2777.7777781 Can't calculate square root of the right side. The solution to this equation could not be determined.
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