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Simplifying 55x2 + -20x + 21 = 0 Reorder the terms: 21 + -20x + 55x2 = 0 Solving 21 + -20x + 55x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 55 the coefficient of the squared term: Divide each side by '55'. 0.3818181818 + -0.3636363636x + x2 = 0 Move the constant term to the right: Add '-0.3818181818' to each side of the equation. 0.3818181818 + -0.3636363636x + -0.3818181818 + x2 = 0 + -0.3818181818 Reorder the terms: 0.3818181818 + -0.3818181818 + -0.3636363636x + x2 = 0 + -0.3818181818 Combine like terms: 0.3818181818 + -0.3818181818 = 0.0000000000 0.0000000000 + -0.3636363636x + x2 = 0 + -0.3818181818 -0.3636363636x + x2 = 0 + -0.3818181818 Combine like terms: 0 + -0.3818181818 = -0.3818181818 -0.3636363636x + x2 = -0.3818181818 The x term is -0.3636363636x. Take half its coefficient (-0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. -0.3636363636x + 0.03305785123 + x2 = -0.3818181818 + 0.03305785123 Reorder the terms: 0.03305785123 + -0.3636363636x + x2 = -0.3818181818 + 0.03305785123 Combine like terms: -0.3818181818 + 0.03305785123 = -0.34876033057 0.03305785123 + -0.3636363636x + x2 = -0.34876033057 Factor a perfect square on the left side: (x + -0.1818181818)(x + -0.1818181818) = -0.34876033057 Can't calculate square root of the right side. The solution to this equation could not be determined.
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