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Simplifying (11y2 + 4y + 1) + -1(2y + 2y2 + -13) = 0 Reorder the terms: (1 + 4y + 11y2) + -1(2y + 2y2 + -13) = 0 Remove parenthesis around (1 + 4y + 11y2) 1 + 4y + 11y2 + -1(2y + 2y2 + -13) = 0 Reorder the terms: 1 + 4y + 11y2 + -1(-13 + 2y + 2y2) = 0 1 + 4y + 11y2 + (-13 * -1 + 2y * -1 + 2y2 * -1) = 0 1 + 4y + 11y2 + (13 + -2y + -2y2) = 0 Reorder the terms: 1 + 13 + 4y + -2y + 11y2 + -2y2 = 0 Combine like terms: 1 + 13 = 14 14 + 4y + -2y + 11y2 + -2y2 = 0 Combine like terms: 4y + -2y = 2y 14 + 2y + 11y2 + -2y2 = 0 Combine like terms: 11y2 + -2y2 = 9y2 14 + 2y + 9y2 = 0 Solving 14 + 2y + 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'. 1.555555556 + 0.2222222222y + y2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + 0.2222222222y + -1.555555556 + y2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + 0.2222222222y + y2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + 0.2222222222y + y2 = 0 + -1.555555556 0.2222222222y + y2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 0.2222222222y + y2 = -1.555555556 The y term is 0.2222222222y. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222y + 0.01234567901 + y2 = -1.555555556 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222y + y2 = -1.555555556 + 0.01234567901 Combine like terms: -1.555555556 + 0.01234567901 = -1.54320987699 0.01234567901 + 0.2222222222y + y2 = -1.54320987699 Factor a perfect square on the left side: (y + 0.1111111111)(y + 0.1111111111) = -1.54320987699 Can't calculate square root of the right side. The solution to this equation could not be determined.
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