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Simplifying (12y2 + -8y + 6) + -1(3y2 + -4y + 2) = 0 Reorder the terms: (6 + -8y + 12y2) + -1(3y2 + -4y + 2) = 0 Remove parenthesis around (6 + -8y + 12y2) 6 + -8y + 12y2 + -1(3y2 + -4y + 2) = 0 Reorder the terms: 6 + -8y + 12y2 + -1(2 + -4y + 3y2) = 0 6 + -8y + 12y2 + (2 * -1 + -4y * -1 + 3y2 * -1) = 0 6 + -8y + 12y2 + (-2 + 4y + -3y2) = 0 Reorder the terms: 6 + -2 + -8y + 4y + 12y2 + -3y2 = 0 Combine like terms: 6 + -2 = 4 4 + -8y + 4y + 12y2 + -3y2 = 0 Combine like terms: -8y + 4y = -4y 4 + -4y + 12y2 + -3y2 = 0 Combine like terms: 12y2 + -3y2 = 9y2 4 + -4y + 9y2 = 0 Solving 4 + -4y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.4444444444y + y2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.4444444444y + -0.4444444444 + y2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.4444444444y + y2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.4444444444y + y2 = 0 + -0.4444444444 -0.4444444444y + y2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.4444444444y + y2 = -0.4444444444 The y term is -0.4444444444y. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444y + 0.04938271604 + y2 = -0.4444444444 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444y + y2 = -0.4444444444 + 0.04938271604 Combine like terms: -0.4444444444 + 0.04938271604 = -0.39506172836 0.04938271604 + -0.4444444444y + y2 = -0.39506172836 Factor a perfect square on the left side: (y + -0.2222222222)(y + -0.2222222222) = -0.39506172836 Can't calculate square root of the right side. The solution to this equation could not be determined.
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