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Simplifying 21y2 + -3y + 2 = 0 Reorder the terms: 2 + -3y + 21y2 = 0 Solving 2 + -3y + 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'. 0.09523809524 + -0.1428571429y + y2 = 0 Move the constant term to the right: Add '-0.09523809524' to each side of the equation. 0.09523809524 + -0.1428571429y + -0.09523809524 + y2 = 0 + -0.09523809524 Reorder the terms: 0.09523809524 + -0.09523809524 + -0.1428571429y + y2 = 0 + -0.09523809524 Combine like terms: 0.09523809524 + -0.09523809524 = 0.00000000000 0.00000000000 + -0.1428571429y + y2 = 0 + -0.09523809524 -0.1428571429y + y2 = 0 + -0.09523809524 Combine like terms: 0 + -0.09523809524 = -0.09523809524 -0.1428571429y + y2 = -0.09523809524 The y term is -0.1428571429y. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429y + 0.005102040819 + y2 = -0.09523809524 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429y + y2 = -0.09523809524 + 0.005102040819 Combine like terms: -0.09523809524 + 0.005102040819 = -0.090136054421 0.005102040819 + -0.1428571429y + y2 = -0.090136054421 Factor a perfect square on the left side: (y + -0.07142857145)(y + -0.07142857145) = -0.090136054421 Can't calculate square root of the right side. The solution to this equation could not be determined.
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