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Simplifying 4y + -3y2 + 6 + 3y + -2 + 4y2 + -5y + 7 = 0 Reorder the terms: 6 + -2 + 7 + 4y + 3y + -5y + -3y2 + 4y2 = 0 Combine like terms: 6 + -2 = 4 4 + 7 + 4y + 3y + -5y + -3y2 + 4y2 = 0 Combine like terms: 4 + 7 = 11 11 + 4y + 3y + -5y + -3y2 + 4y2 = 0 Combine like terms: 4y + 3y = 7y 11 + 7y + -5y + -3y2 + 4y2 = 0 Combine like terms: 7y + -5y = 2y 11 + 2y + -3y2 + 4y2 = 0 Combine like terms: -3y2 + 4y2 = 1y2 11 + 2y + 1y2 = 0 Solving 11 + 2y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 2y + -11 + y2 = 0 + -11 Reorder the terms: 11 + -11 + 2y + y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y + y2 = 0 + -11 2y + y2 = 0 + -11 Combine like terms: 0 + -11 = -11 2y + y2 = -11 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -11 + 1 Reorder the terms: 1 + 2y + y2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + 2y + y2 = -10 Factor a perfect square on the left side: (y + 1)(y + 1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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