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Simplifying 3y2 + -10y + 12 = 0 Reorder the terms: 12 + -10y + 3y2 = 0 Solving 12 + -10y + 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'. 4 + -3.333333333y + y2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.333333333y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + -3.333333333y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.333333333y + y2 = 0 + -4 -3.333333333y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.333333333y + y2 = -4 The y term is -3.333333333y. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333y + 2.777777779 + y2 = -4 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333y + y2 = -4 + 2.777777779 Combine like terms: -4 + 2.777777779 = -1.222222221 2.777777779 + -3.333333333y + y2 = -1.222222221 Factor a perfect square on the left side: (y + -1.666666667)(y + -1.666666667) = -1.222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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