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Simplifying 5(8y2 + -8y + 5) + -2(9y2 + -6y + 5) = 0 Reorder the terms: 5(5 + -8y + 8y2) + -2(9y2 + -6y + 5) = 0 (5 * 5 + -8y * 5 + 8y2 * 5) + -2(9y2 + -6y + 5) = 0 (25 + -40y + 40y2) + -2(9y2 + -6y + 5) = 0 Reorder the terms: 25 + -40y + 40y2 + -2(5 + -6y + 9y2) = 0 25 + -40y + 40y2 + (5 * -2 + -6y * -2 + 9y2 * -2) = 0 25 + -40y + 40y2 + (-10 + 12y + -18y2) = 0 Reorder the terms: 25 + -10 + -40y + 12y + 40y2 + -18y2 = 0 Combine like terms: 25 + -10 = 15 15 + -40y + 12y + 40y2 + -18y2 = 0 Combine like terms: -40y + 12y = -28y 15 + -28y + 40y2 + -18y2 = 0 Combine like terms: 40y2 + -18y2 = 22y2 15 + -28y + 22y2 = 0 Solving 15 + -28y + 22y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 22 the coefficient of the squared term: Divide each side by '22'. 0.6818181818 + -1.272727273y + y2 = 0 Move the constant term to the right: Add '-0.6818181818' to each side of the equation. 0.6818181818 + -1.272727273y + -0.6818181818 + y2 = 0 + -0.6818181818 Reorder the terms: 0.6818181818 + -0.6818181818 + -1.272727273y + y2 = 0 + -0.6818181818 Combine like terms: 0.6818181818 + -0.6818181818 = 0.0000000000 0.0000000000 + -1.272727273y + y2 = 0 + -0.6818181818 -1.272727273y + y2 = 0 + -0.6818181818 Combine like terms: 0 + -0.6818181818 = -0.6818181818 -1.272727273y + y2 = -0.6818181818 The y term is -1.272727273y. Take half its coefficient (-0.6363636365). Square it (0.4049586779) and add it to both sides. Add '0.4049586779' to each side of the equation. -1.272727273y + 0.4049586779 + y2 = -0.6818181818 + 0.4049586779 Reorder the terms: 0.4049586779 + -1.272727273y + y2 = -0.6818181818 + 0.4049586779 Combine like terms: -0.6818181818 + 0.4049586779 = -0.2768595039 0.4049586779 + -1.272727273y + y2 = -0.2768595039 Factor a perfect square on the left side: (y + -0.6363636365)(y + -0.6363636365) = -0.2768595039 Can't calculate square root of the right side. The solution to this equation could not be determined.
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