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Simplifying (7u2 + -4u + 1) + (-2u2 + 5u + 3) = 0 Reorder the terms: (1 + -4u + 7u2) + (-2u2 + 5u + 3) = 0 Remove parenthesis around (1 + -4u + 7u2) 1 + -4u + 7u2 + (-2u2 + 5u + 3) = 0 Reorder the terms: 1 + -4u + 7u2 + (3 + 5u + -2u2) = 0 Remove parenthesis around (3 + 5u + -2u2) 1 + -4u + 7u2 + 3 + 5u + -2u2 = 0 Reorder the terms: 1 + 3 + -4u + 5u + 7u2 + -2u2 = 0 Combine like terms: 1 + 3 = 4 4 + -4u + 5u + 7u2 + -2u2 = 0 Combine like terms: -4u + 5u = 1u 4 + 1u + 7u2 + -2u2 = 0 Combine like terms: 7u2 + -2u2 = 5u2 4 + 1u + 5u2 = 0 Solving 4 + 1u + 5u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 0.2u + u2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.2u + -0.8 + u2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.2u + u2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2u + u2 = 0 + -0.8 0.2u + u2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.2u + u2 = -0.8 The u term is 0.2u. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2u + 0.01 + u2 = -0.8 + 0.01 Reorder the terms: 0.01 + 0.2u + u2 = -0.8 + 0.01 Combine like terms: -0.8 + 0.01 = -0.79 0.01 + 0.2u + u2 = -0.79 Factor a perfect square on the left side: (u + 0.1)(u + 0.1) = -0.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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