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Simplifying (4y + -3y + 5) + -1(7y2 + -3y + 6) = 0 Reorder the terms: (5 + 4y + -3y) + -1(7y2 + -3y + 6) = 0 Combine like terms: 4y + -3y = 1y (5 + 1y) + -1(7y2 + -3y + 6) = 0 Remove parenthesis around (5 + 1y) 5 + 1y + -1(7y2 + -3y + 6) = 0 Reorder the terms: 5 + 1y + -1(6 + -3y + 7y2) = 0 5 + 1y + (6 * -1 + -3y * -1 + 7y2 * -1) = 0 5 + 1y + (-6 + 3y + -7y2) = 0 Reorder the terms: 5 + -6 + 1y + 3y + -7y2 = 0 Combine like terms: 5 + -6 = -1 -1 + 1y + 3y + -7y2 = 0 Combine like terms: 1y + 3y = 4y -1 + 4y + -7y2 = 0 Solving -1 + 4y + -7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.1428571429 + -0.5714285714y + y2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.5714285714y + -0.1428571429 + y2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.5714285714y + y2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.5714285714y + y2 = 0 + -0.1428571429 -0.5714285714y + y2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.5714285714y + y2 = -0.1428571429 The y term is -0.5714285714y. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714y + 0.08163265305 + y2 = -0.1428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714y + y2 = -0.1428571429 + 0.08163265305 Combine like terms: -0.1428571429 + 0.08163265305 = -0.06122448985 0.08163265305 + -0.5714285714y + y2 = -0.06122448985 Factor a perfect square on the left side: (y + -0.2857142857)(y + -0.2857142857) = -0.06122448985 Can't calculate square root of the right side. The solution to this equation could not be determined.
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