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Simplifying (3y2 + -2y + -1) + (6y2 + -5y + 7) = 0 Reorder the terms: (-1 + -2y + 3y2) + (6y2 + -5y + 7) = 0 Remove parenthesis around (-1 + -2y + 3y2) -1 + -2y + 3y2 + (6y2 + -5y + 7) = 0 Reorder the terms: -1 + -2y + 3y2 + (7 + -5y + 6y2) = 0 Remove parenthesis around (7 + -5y + 6y2) -1 + -2y + 3y2 + 7 + -5y + 6y2 = 0 Reorder the terms: -1 + 7 + -2y + -5y + 3y2 + 6y2 = 0 Combine like terms: -1 + 7 = 6 6 + -2y + -5y + 3y2 + 6y2 = 0 Combine like terms: -2y + -5y = -7y 6 + -7y + 3y2 + 6y2 = 0 Combine like terms: 3y2 + 6y2 = 9y2 6 + -7y + 9y2 = 0 Solving 6 + -7y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.6666666667 + -0.7777777778y + y2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.7777777778y + -0.6666666667 + y2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.7777777778y + y2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.7777777778y + y2 = 0 + -0.6666666667 -0.7777777778y + y2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.7777777778y + y2 = -0.6666666667 The y term is -0.7777777778y. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778y + 0.1512345679 + y2 = -0.6666666667 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778y + y2 = -0.6666666667 + 0.1512345679 Combine like terms: -0.6666666667 + 0.1512345679 = -0.5154320988 0.1512345679 + -0.7777777778y + y2 = -0.5154320988 Factor a perfect square on the left side: (y + -0.3888888889)(y + -0.3888888889) = -0.5154320988 Can't calculate square root of the right side. The solution to this equation could not be determined.
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