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Simplifying (5y2 + -2y + -4) + (9y2 + -2y + 4) + -1(-7y2 + 6y + -3) = 0 Reorder the terms: (-4 + -2y + 5y2) + (9y2 + -2y + 4) + -1(-7y2 + 6y + -3) = 0 Remove parenthesis around (-4 + -2y + 5y2) -4 + -2y + 5y2 + (9y2 + -2y + 4) + -1(-7y2 + 6y + -3) = 0 Reorder the terms: -4 + -2y + 5y2 + (4 + -2y + 9y2) + -1(-7y2 + 6y + -3) = 0 Remove parenthesis around (4 + -2y + 9y2) -4 + -2y + 5y2 + 4 + -2y + 9y2 + -1(-7y2 + 6y + -3) = 0 Reorder the terms: -4 + -2y + 5y2 + 4 + -2y + 9y2 + -1(-3 + 6y + -7y2) = 0 -4 + -2y + 5y2 + 4 + -2y + 9y2 + (-3 * -1 + 6y * -1 + -7y2 * -1) = 0 -4 + -2y + 5y2 + 4 + -2y + 9y2 + (3 + -6y + 7y2) = 0 Reorder the terms: -4 + 4 + 3 + -2y + -2y + -6y + 5y2 + 9y2 + 7y2 = 0 Combine like terms: -4 + 4 = 0 0 + 3 + -2y + -2y + -6y + 5y2 + 9y2 + 7y2 = 0 3 + -2y + -2y + -6y + 5y2 + 9y2 + 7y2 = 0 Combine like terms: -2y + -2y = -4y 3 + -4y + -6y + 5y2 + 9y2 + 7y2 = 0 Combine like terms: -4y + -6y = -10y 3 + -10y + 5y2 + 9y2 + 7y2 = 0 Combine like terms: 5y2 + 9y2 = 14y2 3 + -10y + 14y2 + 7y2 = 0 Combine like terms: 14y2 + 7y2 = 21y2 3 + -10y + 21y2 = 0 Solving 3 + -10y + 21y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.1428571429 + -0.4761904762y + y2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.4761904762y + -0.1428571429 + y2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.4761904762y + y2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.4761904762y + y2 = 0 + -0.1428571429 -0.4761904762y + y2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.4761904762y + y2 = -0.1428571429 The y term is -0.4761904762y. Take half its coefficient (-0.2380952381). Square it (0.05668934241) and add it to both sides. Add '0.05668934241' to each side of the equation. -0.4761904762y + 0.05668934241 + y2 = -0.1428571429 + 0.05668934241 Reorder the terms: 0.05668934241 + -0.4761904762y + y2 = -0.1428571429 + 0.05668934241 Combine like terms: -0.1428571429 + 0.05668934241 = -0.08616780049 0.05668934241 + -0.4761904762y + y2 = -0.08616780049 Factor a perfect square on the left side: (y + -0.2380952381)(y + -0.2380952381) = -0.08616780049 Can't calculate square root of the right side. The solution to this equation could not be determined.
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