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Simplifying (6y2 + -2y + 5) + (-3y2 + y + 7) = 0 Reorder the terms: (5 + -2y + 6y2) + (-3y2 + y + 7) = 0 Remove parenthesis around (5 + -2y + 6y2) 5 + -2y + 6y2 + (-3y2 + y + 7) = 0 Reorder the terms: 5 + -2y + 6y2 + (7 + y + -3y2) = 0 Remove parenthesis around (7 + y + -3y2) 5 + -2y + 6y2 + 7 + y + -3y2 = 0 Reorder the terms: 5 + 7 + -2y + y + 6y2 + -3y2 = 0 Combine like terms: 5 + 7 = 12 12 + -2y + y + 6y2 + -3y2 = 0 Combine like terms: -2y + y = -1y 12 + -1y + 6y2 + -3y2 = 0 Combine like terms: 6y2 + -3y2 = 3y2 12 + -1y + 3y2 = 0 Solving 12 + -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'. 4 + -0.3333333333y + y2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.3333333333y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + -0.3333333333y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.3333333333y + y2 = 0 + -4 -0.3333333333y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.3333333333y + y2 = -4 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 = -4 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333y + y2 = -4 + 0.02777777779 Combine like terms: -4 + 0.02777777779 = -3.97222222221 0.02777777779 + -0.3333333333y + y2 = -3.97222222221 Factor a perfect square on the left side: (y + -0.1666666667)(y + -0.1666666667) = -3.97222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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