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Simplifying (4y2 + -6y + -1) + (3y2 + -2y + 7) = 0 Reorder the terms: (-1 + -6y + 4y2) + (3y2 + -2y + 7) = 0 Remove parenthesis around (-1 + -6y + 4y2) -1 + -6y + 4y2 + (3y2 + -2y + 7) = 0 Reorder the terms: -1 + -6y + 4y2 + (7 + -2y + 3y2) = 0 Remove parenthesis around (7 + -2y + 3y2) -1 + -6y + 4y2 + 7 + -2y + 3y2 = 0 Reorder the terms: -1 + 7 + -6y + -2y + 4y2 + 3y2 = 0 Combine like terms: -1 + 7 = 6 6 + -6y + -2y + 4y2 + 3y2 = 0 Combine like terms: -6y + -2y = -8y 6 + -8y + 4y2 + 3y2 = 0 Combine like terms: 4y2 + 3y2 = 7y2 6 + -8y + 7y2 = 0 Solving 6 + -8y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + -1.142857143y + y2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -1.142857143y + -0.8571428571 + y2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -1.142857143y + y2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -1.142857143y + y2 = 0 + -0.8571428571 -1.142857143y + y2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -1.142857143y + y2 = -0.8571428571 The y term is -1.142857143y. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143y + 0.3265306123 + y2 = -0.8571428571 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143y + y2 = -0.8571428571 + 0.3265306123 Combine like terms: -0.8571428571 + 0.3265306123 = -0.5306122448 0.3265306123 + -1.142857143y + y2 = -0.5306122448 Factor a perfect square on the left side: (y + -0.5714285715)(y + -0.5714285715) = -0.5306122448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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