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Simplifying 24y2 + -19y + 5 = 0 Reorder the terms: 5 + -19y + 24y2 = 0 Solving 5 + -19y + 24y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.2083333333 + -0.7916666667y + y2 = 0 Move the constant term to the right: Add '-0.2083333333' to each side of the equation. 0.2083333333 + -0.7916666667y + -0.2083333333 + y2 = 0 + -0.2083333333 Reorder the terms: 0.2083333333 + -0.2083333333 + -0.7916666667y + y2 = 0 + -0.2083333333 Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000 0.0000000000 + -0.7916666667y + y2 = 0 + -0.2083333333 -0.7916666667y + y2 = 0 + -0.2083333333 Combine like terms: 0 + -0.2083333333 = -0.2083333333 -0.7916666667y + y2 = -0.2083333333 The y term is -0.7916666667y. Take half its coefficient (-0.3958333334). Square it (0.1566840278) and add it to both sides. Add '0.1566840278' to each side of the equation. -0.7916666667y + 0.1566840278 + y2 = -0.2083333333 + 0.1566840278 Reorder the terms: 0.1566840278 + -0.7916666667y + y2 = -0.2083333333 + 0.1566840278 Combine like terms: -0.2083333333 + 0.1566840278 = -0.0516493055 0.1566840278 + -0.7916666667y + y2 = -0.0516493055 Factor a perfect square on the left side: (y + -0.3958333334)(y + -0.3958333334) = -0.0516493055 Can't calculate square root of the right side. The solution to this equation could not be determined.
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