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Simplifying 21y2 + -8y + 5 = 0 Reorder the terms: 5 + -8y + 21y2 = 0 Solving 5 + -8y + 21y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.2380952381 + -0.380952381y + y2 = 0 Move the constant term to the right: Add '-0.2380952381' to each side of the equation. 0.2380952381 + -0.380952381y + -0.2380952381 + y2 = 0 + -0.2380952381 Reorder the terms: 0.2380952381 + -0.2380952381 + -0.380952381y + y2 = 0 + -0.2380952381 Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000 0.0000000000 + -0.380952381y + y2 = 0 + -0.2380952381 -0.380952381y + y2 = 0 + -0.2380952381 Combine like terms: 0 + -0.2380952381 = -0.2380952381 -0.380952381y + y2 = -0.2380952381 The y term is -0.380952381y. Take half its coefficient (-0.1904761905). Square it (0.03628117915) and add it to both sides. Add '0.03628117915' to each side of the equation. -0.380952381y + 0.03628117915 + y2 = -0.2380952381 + 0.03628117915 Reorder the terms: 0.03628117915 + -0.380952381y + y2 = -0.2380952381 + 0.03628117915 Combine like terms: -0.2380952381 + 0.03628117915 = -0.20181405895 0.03628117915 + -0.380952381y + y2 = -0.20181405895 Factor a perfect square on the left side: (y + -0.1904761905)(y + -0.1904761905) = -0.20181405895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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