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Simplifying -0.018x2 + -0.212353x + -21.7 = 0 Reorder the terms: -21.7 + -0.212353x + -0.018x2 = 0 Solving -21.7 + -0.212353x + -0.018x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.018 the coefficient of the squared term: Divide each side by '-0.018'. 1205.555556 + 11.79738889x + x2 = 0 Move the constant term to the right: Add '-1205.555556' to each side of the equation. 1205.555556 + 11.79738889x + -1205.555556 + x2 = 0 + -1205.555556 Reorder the terms: 1205.555556 + -1205.555556 + 11.79738889x + x2 = 0 + -1205.555556 Combine like terms: 1205.555556 + -1205.555556 = 0.000000 0.000000 + 11.79738889x + x2 = 0 + -1205.555556 11.79738889x + x2 = 0 + -1205.555556 Combine like terms: 0 + -1205.555556 = -1205.555556 11.79738889x + x2 = -1205.555556 The x term is 11.79738889x. Take half its coefficient (5.898694445). Square it (34.79459616) and add it to both sides. Add '34.79459616' to each side of the equation. 11.79738889x + 34.79459616 + x2 = -1205.555556 + 34.79459616 Reorder the terms: 34.79459616 + 11.79738889x + x2 = -1205.555556 + 34.79459616 Combine like terms: -1205.555556 + 34.79459616 = -1170.76095984 34.79459616 + 11.79738889x + x2 = -1170.76095984 Factor a perfect square on the left side: (x + 5.898694445)(x + 5.898694445) = -1170.76095984 Can't calculate square root of the right side. The solution to this equation could not be determined.
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