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Simplifying (7u * u + -2u + 4) + (-1u * -1u + 5u + 3) = 0 Multiply u * u (7u2 + -2u + 4) + (-1u * -1u + 5u + 3) = 0 Reorder the terms: (4 + -2u + 7u2) + (-1u * -1u + 5u + 3) = 0 Remove parenthesis around (4 + -2u + 7u2) 4 + -2u + 7u2 + (-1u * -1u + 5u + 3) = 0 Reorder the terms for easier multiplication: 4 + -2u + 7u2 + (-1 * -1u * u + 5u + 3) = 0 Multiply -1 * -1 4 + -2u + 7u2 + (1u * u + 5u + 3) = 0 Multiply u * u 4 + -2u + 7u2 + (1u2 + 5u + 3) = 0 Reorder the terms: 4 + -2u + 7u2 + (3 + 5u + 1u2) = 0 Remove parenthesis around (3 + 5u + 1u2) 4 + -2u + 7u2 + 3 + 5u + 1u2 = 0 Reorder the terms: 4 + 3 + -2u + 5u + 7u2 + 1u2 = 0 Combine like terms: 4 + 3 = 7 7 + -2u + 5u + 7u2 + 1u2 = 0 Combine like terms: -2u + 5u = 3u 7 + 3u + 7u2 + 1u2 = 0 Combine like terms: 7u2 + 1u2 = 8u2 7 + 3u + 8u2 = 0 Solving 7 + 3u + 8u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.375u + u2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.375u + -0.875 + u2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.375u + u2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.375u + u2 = 0 + -0.875 0.375u + u2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.375u + u2 = -0.875 The u term is 0.375u. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375u + 0.03515625 + u2 = -0.875 + 0.03515625 Reorder the terms: 0.03515625 + 0.375u + u2 = -0.875 + 0.03515625 Combine like terms: -0.875 + 0.03515625 = -0.83984375 0.03515625 + 0.375u + u2 = -0.83984375 Factor a perfect square on the left side: (u + 0.1875)(u + 0.1875) = -0.83984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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