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Simplifying 9y2 + 66y + 122 = 0 Reorder the terms: 122 + 66y + 9y2 = 0 Solving 122 + 66y + 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'. 13.55555556 + 7.333333333y + y2 = 0 Move the constant term to the right: Add '-13.55555556' to each side of the equation. 13.55555556 + 7.333333333y + -13.55555556 + y2 = 0 + -13.55555556 Reorder the terms: 13.55555556 + -13.55555556 + 7.333333333y + y2 = 0 + -13.55555556 Combine like terms: 13.55555556 + -13.55555556 = 0.00000000 0.00000000 + 7.333333333y + y2 = 0 + -13.55555556 7.333333333y + y2 = 0 + -13.55555556 Combine like terms: 0 + -13.55555556 = -13.55555556 7.333333333y + y2 = -13.55555556 The y term is 7.333333333y. Take half its coefficient (3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. 7.333333333y + 13.44444445 + y2 = -13.55555556 + 13.44444445 Reorder the terms: 13.44444445 + 7.333333333y + y2 = -13.55555556 + 13.44444445 Combine like terms: -13.55555556 + 13.44444445 = -0.11111111 13.44444445 + 7.333333333y + y2 = -0.11111111 Factor a perfect square on the left side: (y + 3.666666667)(y + 3.666666667) = -0.11111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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