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Simplifying (4u2 + -2u + -3) + (3u2 + -1u + 4) = 0 Reorder the terms: (-3 + -2u + 4u2) + (3u2 + -1u + 4) = 0 Remove parenthesis around (-3 + -2u + 4u2) -3 + -2u + 4u2 + (3u2 + -1u + 4) = 0 Reorder the terms: -3 + -2u + 4u2 + (4 + -1u + 3u2) = 0 Remove parenthesis around (4 + -1u + 3u2) -3 + -2u + 4u2 + 4 + -1u + 3u2 = 0 Reorder the terms: -3 + 4 + -2u + -1u + 4u2 + 3u2 = 0 Combine like terms: -3 + 4 = 1 1 + -2u + -1u + 4u2 + 3u2 = 0 Combine like terms: -2u + -1u = -3u 1 + -3u + 4u2 + 3u2 = 0 Combine like terms: 4u2 + 3u2 = 7u2 1 + -3u + 7u2 = 0 Solving 1 + -3u + 7u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.1428571429 + -0.4285714286u + u2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.4285714286u + -0.1428571429 + u2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.4285714286u + u2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.4285714286u + u2 = 0 + -0.1428571429 -0.4285714286u + u2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.4285714286u + u2 = -0.1428571429 The u term is -0.4285714286u. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286u + 0.04591836735 + u2 = -0.1428571429 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286u + u2 = -0.1428571429 + 0.04591836735 Combine like terms: -0.1428571429 + 0.04591836735 = -0.09693877555 0.04591836735 + -0.4285714286u + u2 = -0.09693877555 Factor a perfect square on the left side: (u + -0.2142857143)(u + -0.2142857143) = -0.09693877555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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