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Simplifying (7y2 + -2y + 8) + (3y2 + -3y + -5) + -1(6y2 + -6y + -5) = 0 Reorder the terms: (8 + -2y + 7y2) + (3y2 + -3y + -5) + -1(6y2 + -6y + -5) = 0 Remove parenthesis around (8 + -2y + 7y2) 8 + -2y + 7y2 + (3y2 + -3y + -5) + -1(6y2 + -6y + -5) = 0 Reorder the terms: 8 + -2y + 7y2 + (-5 + -3y + 3y2) + -1(6y2 + -6y + -5) = 0 Remove parenthesis around (-5 + -3y + 3y2) 8 + -2y + 7y2 + -5 + -3y + 3y2 + -1(6y2 + -6y + -5) = 0 Reorder the terms: 8 + -2y + 7y2 + -5 + -3y + 3y2 + -1(-5 + -6y + 6y2) = 0 8 + -2y + 7y2 + -5 + -3y + 3y2 + (-5 * -1 + -6y * -1 + 6y2 * -1) = 0 8 + -2y + 7y2 + -5 + -3y + 3y2 + (5 + 6y + -6y2) = 0 Reorder the terms: 8 + -5 + 5 + -2y + -3y + 6y + 7y2 + 3y2 + -6y2 = 0 Combine like terms: 8 + -5 = 3 3 + 5 + -2y + -3y + 6y + 7y2 + 3y2 + -6y2 = 0 Combine like terms: 3 + 5 = 8 8 + -2y + -3y + 6y + 7y2 + 3y2 + -6y2 = 0 Combine like terms: -2y + -3y = -5y 8 + -5y + 6y + 7y2 + 3y2 + -6y2 = 0 Combine like terms: -5y + 6y = 1y 8 + 1y + 7y2 + 3y2 + -6y2 = 0 Combine like terms: 7y2 + 3y2 = 10y2 8 + 1y + 10y2 + -6y2 = 0 Combine like terms: 10y2 + -6y2 = 4y2 8 + 1y + 4y2 = 0 Solving 8 + 1y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + 0.25y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.25y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 0.25y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25y + y2 = 0 + -2 0.25y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.25y + y2 = -2 The y term is 0.25y. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25y + 0.015625 + y2 = -2 + 0.015625 Reorder the terms: 0.015625 + 0.25y + y2 = -2 + 0.015625 Combine like terms: -2 + 0.015625 = -1.984375 0.015625 + 0.25y + y2 = -1.984375 Factor a perfect square on the left side: (y + 0.125)(y + 0.125) = -1.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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