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Simplifying 6y(2y + -4) + -14(2y + -26) = 5 + -21(3y + 5) Reorder the terms: 6y(-4 + 2y) + -14(2y + -26) = 5 + -21(3y + 5) (-4 * 6y + 2y * 6y) + -14(2y + -26) = 5 + -21(3y + 5) (-24y + 12y2) + -14(2y + -26) = 5 + -21(3y + 5) Reorder the terms: -24y + 12y2 + -14(-26 + 2y) = 5 + -21(3y + 5) -24y + 12y2 + (-26 * -14 + 2y * -14) = 5 + -21(3y + 5) -24y + 12y2 + (364 + -28y) = 5 + -21(3y + 5) Reorder the terms: 364 + -24y + -28y + 12y2 = 5 + -21(3y + 5) Combine like terms: -24y + -28y = -52y 364 + -52y + 12y2 = 5 + -21(3y + 5) Reorder the terms: 364 + -52y + 12y2 = 5 + -21(5 + 3y) 364 + -52y + 12y2 = 5 + (5 * -21 + 3y * -21) 364 + -52y + 12y2 = 5 + (-105 + -63y) Combine like terms: 5 + -105 = -100 364 + -52y + 12y2 = -100 + -63y Solving 364 + -52y + 12y2 = -100 + -63y Solving for variable 'y'. Reorder the terms: 364 + 100 + -52y + 63y + 12y2 = -100 + -63y + 100 + 63y Combine like terms: 364 + 100 = 464 464 + -52y + 63y + 12y2 = -100 + -63y + 100 + 63y Combine like terms: -52y + 63y = 11y 464 + 11y + 12y2 = -100 + -63y + 100 + 63y Reorder the terms: 464 + 11y + 12y2 = -100 + 100 + -63y + 63y Combine like terms: -100 + 100 = 0 464 + 11y + 12y2 = 0 + -63y + 63y 464 + 11y + 12y2 = -63y + 63y Combine like terms: -63y + 63y = 0 464 + 11y + 12y2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 38.66666667 + 0.9166666667y + y2 = 0 Move the constant term to the right: Add '-38.66666667' to each side of the equation. 38.66666667 + 0.9166666667y + -38.66666667 + y2 = 0 + -38.66666667 Reorder the terms: 38.66666667 + -38.66666667 + 0.9166666667y + y2 = 0 + -38.66666667 Combine like terms: 38.66666667 + -38.66666667 = 0.00000000 0.00000000 + 0.9166666667y + y2 = 0 + -38.66666667 0.9166666667y + y2 = 0 + -38.66666667 Combine like terms: 0 + -38.66666667 = -38.66666667 0.9166666667y + y2 = -38.66666667 The y term is 0.9166666667y. Take half its coefficient (0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. 0.9166666667y + 0.2100694445 + y2 = -38.66666667 + 0.2100694445 Reorder the terms: 0.2100694445 + 0.9166666667y + y2 = -38.66666667 + 0.2100694445 Combine like terms: -38.66666667 + 0.2100694445 = -38.4565972255 0.2100694445 + 0.9166666667y + y2 = -38.4565972255 Factor a perfect square on the left side: (y + 0.4583333334)(y + 0.4583333334) = -38.4565972255 Can't calculate square root of the right side. The solution to this equation could not be determined.
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