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Simplifying 3u2 + -12u + 14 = 0 Reorder the terms: 14 + -12u + 3u2 = 0 Solving 14 + -12u + 3u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4.666666667 + -4u + u2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + -4u + -4.666666667 + u2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + -4u + u2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + -4u + u2 = 0 + -4.666666667 -4u + u2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 -4u + u2 = -4.666666667 The u term is -4u. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4u + 4 + u2 = -4.666666667 + 4 Reorder the terms: 4 + -4u + u2 = -4.666666667 + 4 Combine like terms: -4.666666667 + 4 = -0.666666667 4 + -4u + u2 = -0.666666667 Factor a perfect square on the left side: (u + -2)(u + -2) = -0.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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