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Simplifying (11y2 + 8y + 7) + -1(6y + 2y2 + -14) = 0 Reorder the terms: (7 + 8y + 11y2) + -1(6y + 2y2 + -14) = 0 Remove parenthesis around (7 + 8y + 11y2) 7 + 8y + 11y2 + -1(6y + 2y2 + -14) = 0 Reorder the terms: 7 + 8y + 11y2 + -1(-14 + 6y + 2y2) = 0 7 + 8y + 11y2 + (-14 * -1 + 6y * -1 + 2y2 * -1) = 0 7 + 8y + 11y2 + (14 + -6y + -2y2) = 0 Reorder the terms: 7 + 14 + 8y + -6y + 11y2 + -2y2 = 0 Combine like terms: 7 + 14 = 21 21 + 8y + -6y + 11y2 + -2y2 = 0 Combine like terms: 8y + -6y = 2y 21 + 2y + 11y2 + -2y2 = 0 Combine like terms: 11y2 + -2y2 = 9y2 21 + 2y + 9y2 = 0 Solving 21 + 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'. 2.333333333 + 0.2222222222y + y2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 0.2222222222y + -2.333333333 + y2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 0.2222222222y + y2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 0.2222222222y + y2 = 0 + -2.333333333 0.2222222222y + y2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 0.2222222222y + y2 = -2.333333333 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 = -2.333333333 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222y + y2 = -2.333333333 + 0.01234567901 Combine like terms: -2.333333333 + 0.01234567901 = -2.32098765399 0.01234567901 + 0.2222222222y + y2 = -2.32098765399 Factor a perfect square on the left side: (y + 0.1111111111)(y + 0.1111111111) = -2.32098765399 Can't calculate square root of the right side. The solution to this equation could not be determined.
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