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Simplifying 9u2 + 12u + 16 = 0 Reorder the terms: 16 + 12u + 9u2 = 0 Solving 16 + 12u + 9u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 1.333333333u + u2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 1.333333333u + -1.777777778 + u2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 1.333333333u + u2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 1.333333333u + u2 = 0 + -1.777777778 1.333333333u + u2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 1.333333333u + u2 = -1.777777778 The u term is 1.333333333u. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333u + 0.4444444442 + u2 = -1.777777778 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333u + u2 = -1.777777778 + 0.4444444442 Combine like terms: -1.777777778 + 0.4444444442 = -1.3333333338 0.4444444442 + 1.333333333u + u2 = -1.3333333338 Factor a perfect square on the left side: (u + 0.6666666665)(u + 0.6666666665) = -1.3333333338 Can't calculate square root of the right side. The solution to this equation could not be determined.
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