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Simplifying 21x2 + -17x + 8 = 0 Reorder the terms: 8 + -17x + 21x2 = 0 Solving 8 + -17x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.380952381 + -0.8095238095x + x2 = 0 Move the constant term to the right: Add '-0.380952381' to each side of the equation. 0.380952381 + -0.8095238095x + -0.380952381 + x2 = 0 + -0.380952381 Reorder the terms: 0.380952381 + -0.380952381 + -0.8095238095x + x2 = 0 + -0.380952381 Combine like terms: 0.380952381 + -0.380952381 = 0.000000000 0.000000000 + -0.8095238095x + x2 = 0 + -0.380952381 -0.8095238095x + x2 = 0 + -0.380952381 Combine like terms: 0 + -0.380952381 = -0.380952381 -0.8095238095x + x2 = -0.380952381 The x term is -0.8095238095x. Take half its coefficient (-0.4047619048). Square it (0.1638321996) and add it to both sides. Add '0.1638321996' to each side of the equation. -0.8095238095x + 0.1638321996 + x2 = -0.380952381 + 0.1638321996 Reorder the terms: 0.1638321996 + -0.8095238095x + x2 = -0.380952381 + 0.1638321996 Combine like terms: -0.380952381 + 0.1638321996 = -0.2171201814 0.1638321996 + -0.8095238095x + x2 = -0.2171201814 Factor a perfect square on the left side: (x + -0.4047619048)(x + -0.4047619048) = -0.2171201814 Can't calculate square root of the right side. The solution to this equation could not be determined.
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