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Simplifying 21y2 + -19y + 5 = 0 Reorder the terms: 5 + -19y + 21y2 = 0 Solving 5 + -19y + 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 + -0.9047619048y + y2 = 0 Move the constant term to the right: Add '-0.2380952381' to each side of the equation. 0.2380952381 + -0.9047619048y + -0.2380952381 + y2 = 0 + -0.2380952381 Reorder the terms: 0.2380952381 + -0.2380952381 + -0.9047619048y + y2 = 0 + -0.2380952381 Combine like terms: 0.2380952381 + -0.2380952381 = 0.0000000000 0.0000000000 + -0.9047619048y + y2 = 0 + -0.2380952381 -0.9047619048y + y2 = 0 + -0.2380952381 Combine like terms: 0 + -0.2380952381 = -0.2380952381 -0.9047619048y + y2 = -0.2380952381 The y term is -0.9047619048y. Take half its coefficient (-0.4523809524). Square it (0.2046485261) and add it to both sides. Add '0.2046485261' to each side of the equation. -0.9047619048y + 0.2046485261 + y2 = -0.2380952381 + 0.2046485261 Reorder the terms: 0.2046485261 + -0.9047619048y + y2 = -0.2380952381 + 0.2046485261 Combine like terms: -0.2380952381 + 0.2046485261 = -0.033446712 0.2046485261 + -0.9047619048y + y2 = -0.033446712 Factor a perfect square on the left side: (y + -0.4523809524)(y + -0.4523809524) = -0.033446712 Can't calculate square root of the right side. The solution to this equation could not be determined.
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