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Simplifying 3y2 + 1y + 30 = 0 Reorder the terms: 30 + 1y + 3y2 = 0 Solving 30 + 1y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10 + 0.3333333333y + y2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 0.3333333333y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + 0.3333333333y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3333333333y + y2 = 0 + -10 0.3333333333y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 0.3333333333y + y2 = -10 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 = -10 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333y + y2 = -10 + 0.02777777779 Combine like terms: -10 + 0.02777777779 = -9.97222222221 0.02777777779 + 0.3333333333y + y2 = -9.97222222221 Factor a perfect square on the left side: (y + 0.1666666667)(y + 0.1666666667) = -9.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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