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Simplifying 21y2 + -9y + 5 = 0 Reorder the terms: 5 + -9y + 21y2 = 0 Solving 5 + -9y + 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 + -0.4285714286y + y2 = 0 Move the constant term to the right: Add '-0.2380952381' to each side of the equation. 0.2380952381 + -0.4285714286y + -0.2380952381 + y2 = 0 + -0.2380952381 Reorder the terms: 0.2380952381 + -0.2380952381 + -0.4285714286y + y2 = 0 + -0.2380952381 Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000 0.0000000000 + -0.4285714286y + y2 = 0 + -0.2380952381 -0.4285714286y + y2 = 0 + -0.2380952381 Combine like terms: 0 + -0.2380952381 = -0.2380952381 -0.4285714286y + y2 = -0.2380952381 The y term is -0.4285714286y. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286y + 0.04591836735 + y2 = -0.2380952381 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286y + y2 = -0.2380952381 + 0.04591836735 Combine like terms: -0.2380952381 + 0.04591836735 = -0.19217687075 0.04591836735 + -0.4285714286y + y2 = -0.19217687075 Factor a perfect square on the left side: (y + -0.2142857143)(y + -0.2142857143) = -0.19217687075 Can't calculate square root of the right side. The solution to this equation could not be determined.
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