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Simplifying (8y2 + 7) + (7y + 9) + -1(6y2 + -5y + -7) = 0 Reorder the terms: (7 + 8y2) + (7y + 9) + -1(6y2 + -5y + -7) = 0 Remove parenthesis around (7 + 8y2) 7 + 8y2 + (7y + 9) + -1(6y2 + -5y + -7) = 0 Reorder the terms: 7 + 8y2 + (9 + 7y) + -1(6y2 + -5y + -7) = 0 Remove parenthesis around (9 + 7y) 7 + 8y2 + 9 + 7y + -1(6y2 + -5y + -7) = 0 Reorder the terms: 7 + 8y2 + 9 + 7y + -1(-7 + -5y + 6y2) = 0 7 + 8y2 + 9 + 7y + (-7 * -1 + -5y * -1 + 6y2 * -1) = 0 7 + 8y2 + 9 + 7y + (7 + 5y + -6y2) = 0 Reorder the terms: 7 + 9 + 7 + 7y + 5y + 8y2 + -6y2 = 0 Combine like terms: 7 + 9 = 16 16 + 7 + 7y + 5y + 8y2 + -6y2 = 0 Combine like terms: 16 + 7 = 23 23 + 7y + 5y + 8y2 + -6y2 = 0 Combine like terms: 7y + 5y = 12y 23 + 12y + 8y2 + -6y2 = 0 Combine like terms: 8y2 + -6y2 = 2y2 23 + 12y + 2y2 = 0 Solving 23 + 12y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 11.5 + 6y + y2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + 6y + -11.5 + y2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + 6y + y2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + 6y + y2 = 0 + -11.5 6y + y2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 6y + y2 = -11.5 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -11.5 + 9 Reorder the terms: 9 + 6y + y2 = -11.5 + 9 Combine like terms: -11.5 + 9 = -2.5 9 + 6y + y2 = -2.5 Factor a perfect square on the left side: (y + 3)(y + 3) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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