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Simplifying 96y2 + 32y + 5 = 0 Reorder the terms: 5 + 32y + 96y2 = 0 Solving 5 + 32y + 96y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 96 the coefficient of the squared term: Divide each side by '96'. 0.05208333333 + 0.3333333333y + y2 = 0 Move the constant term to the right: Add '-0.05208333333' to each side of the equation. 0.05208333333 + 0.3333333333y + -0.05208333333 + y2 = 0 + -0.05208333333 Reorder the terms: 0.05208333333 + -0.05208333333 + 0.3333333333y + y2 = 0 + -0.05208333333 Combine like terms: 0.05208333333 + -0.05208333333 = 0.00000000000 0.00000000000 + 0.3333333333y + y2 = 0 + -0.05208333333 0.3333333333y + y2 = 0 + -0.05208333333 Combine like terms: 0 + -0.05208333333 = -0.05208333333 0.3333333333y + y2 = -0.05208333333 The y term is 0.3333333333y. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333y + 0.02777777779 + y2 = -0.05208333333 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333y + y2 = -0.05208333333 + 0.02777777779 Combine like terms: -0.05208333333 + 0.02777777779 = -0.02430555554 0.02777777779 + 0.3333333333y + y2 = -0.02430555554 Factor a perfect square on the left side: (y + 0.1666666667)(y + 0.1666666667) = -0.02430555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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