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Simplifying (7y2 + -4y + 2) + (-6y2 + 5y + 1) = 0 Reorder the terms: (2 + -4y + 7y2) + (-6y2 + 5y + 1) = 0 Remove parenthesis around (2 + -4y + 7y2) 2 + -4y + 7y2 + (-6y2 + 5y + 1) = 0 Reorder the terms: 2 + -4y + 7y2 + (1 + 5y + -6y2) = 0 Remove parenthesis around (1 + 5y + -6y2) 2 + -4y + 7y2 + 1 + 5y + -6y2 = 0 Reorder the terms: 2 + 1 + -4y + 5y + 7y2 + -6y2 = 0 Combine like terms: 2 + 1 = 3 3 + -4y + 5y + 7y2 + -6y2 = 0 Combine like terms: -4y + 5y = 1y 3 + 1y + 7y2 + -6y2 = 0 Combine like terms: 7y2 + -6y2 = 1y2 3 + 1y + 1y2 = 0 Solving 3 + 1y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 1y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1y + y2 = 0 + -3 1y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 1y + y2 = -3 The y term is 1y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -3 + 0.25 Reorder the terms: 0.25 + y + y2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + y + y2 = -2.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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