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Simplifying (4y2 + -3y + 8) + (4y2 + -7y + 9) + -1(-8y2 + 2y + -8) = 0 Reorder the terms: (8 + -3y + 4y2) + (4y2 + -7y + 9) + -1(-8y2 + 2y + -8) = 0 Remove parenthesis around (8 + -3y + 4y2) 8 + -3y + 4y2 + (4y2 + -7y + 9) + -1(-8y2 + 2y + -8) = 0 Reorder the terms: 8 + -3y + 4y2 + (9 + -7y + 4y2) + -1(-8y2 + 2y + -8) = 0 Remove parenthesis around (9 + -7y + 4y2) 8 + -3y + 4y2 + 9 + -7y + 4y2 + -1(-8y2 + 2y + -8) = 0 Reorder the terms: 8 + -3y + 4y2 + 9 + -7y + 4y2 + -1(-8 + 2y + -8y2) = 0 8 + -3y + 4y2 + 9 + -7y + 4y2 + (-8 * -1 + 2y * -1 + -8y2 * -1) = 0 8 + -3y + 4y2 + 9 + -7y + 4y2 + (8 + -2y + 8y2) = 0 Reorder the terms: 8 + 9 + 8 + -3y + -7y + -2y + 4y2 + 4y2 + 8y2 = 0 Combine like terms: 8 + 9 = 17 17 + 8 + -3y + -7y + -2y + 4y2 + 4y2 + 8y2 = 0 Combine like terms: 17 + 8 = 25 25 + -3y + -7y + -2y + 4y2 + 4y2 + 8y2 = 0 Combine like terms: -3y + -7y = -10y 25 + -10y + -2y + 4y2 + 4y2 + 8y2 = 0 Combine like terms: -10y + -2y = -12y 25 + -12y + 4y2 + 4y2 + 8y2 = 0 Combine like terms: 4y2 + 4y2 = 8y2 25 + -12y + 8y2 + 8y2 = 0 Combine like terms: 8y2 + 8y2 = 16y2 25 + -12y + 16y2 = 0 Solving 25 + -12y + 16y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + -0.75y + y2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + -0.75y + -1.5625 + y2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + -0.75y + y2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + -0.75y + y2 = 0 + -1.5625 -0.75y + y2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 -0.75y + y2 = -1.5625 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = -1.5625 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -1.5625 + 0.140625 Combine like terms: -1.5625 + 0.140625 = -1.421875 0.140625 + -0.75y + y2 = -1.421875 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -1.421875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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