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Simplifying -9u2 + 21u + -14 = 0 Reorder the terms: -14 + 21u + -9u2 = 0 Solving -14 + 21u + -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'. 1.555555556 + -2.333333333u + u2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + -2.333333333u + -1.555555556 + u2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + -2.333333333u + u2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + -2.333333333u + u2 = 0 + -1.555555556 -2.333333333u + u2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 -2.333333333u + u2 = -1.555555556 The u term is -2.333333333u. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333u + 1.361111112 + u2 = -1.555555556 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333u + u2 = -1.555555556 + 1.361111112 Combine like terms: -1.555555556 + 1.361111112 = -0.194444444 1.361111112 + -2.333333333u + u2 = -0.194444444 Factor a perfect square on the left side: (u + -1.166666667)(u + -1.166666667) = -0.194444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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