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Simplifying (7u2 + -4u + -2) + (6u2 + -1u + 5) = 0 Reorder the terms: (-2 + -4u + 7u2) + (6u2 + -1u + 5) = 0 Remove parenthesis around (-2 + -4u + 7u2) -2 + -4u + 7u2 + (6u2 + -1u + 5) = 0 Reorder the terms: -2 + -4u + 7u2 + (5 + -1u + 6u2) = 0 Remove parenthesis around (5 + -1u + 6u2) -2 + -4u + 7u2 + 5 + -1u + 6u2 = 0 Reorder the terms: -2 + 5 + -4u + -1u + 7u2 + 6u2 = 0 Combine like terms: -2 + 5 = 3 3 + -4u + -1u + 7u2 + 6u2 = 0 Combine like terms: -4u + -1u = -5u 3 + -5u + 7u2 + 6u2 = 0 Combine like terms: 7u2 + 6u2 = 13u2 3 + -5u + 13u2 = 0 Solving 3 + -5u + 13u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.2307692308 + -0.3846153846u + u2 = 0 Move the constant term to the right: Add '-0.2307692308' to each side of the equation. 0.2307692308 + -0.3846153846u + -0.2307692308 + u2 = 0 + -0.2307692308 Reorder the terms: 0.2307692308 + -0.2307692308 + -0.3846153846u + u2 = 0 + -0.2307692308 Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000 0.0000000000 + -0.3846153846u + u2 = 0 + -0.2307692308 -0.3846153846u + u2 = 0 + -0.2307692308 Combine like terms: 0 + -0.2307692308 = -0.2307692308 -0.3846153846u + u2 = -0.2307692308 The u term is -0.3846153846u. Take half its coefficient (-0.1923076923). Square it (0.03698224852) and add it to both sides. Add '0.03698224852' to each side of the equation. -0.3846153846u + 0.03698224852 + u2 = -0.2307692308 + 0.03698224852 Reorder the terms: 0.03698224852 + -0.3846153846u + u2 = -0.2307692308 + 0.03698224852 Combine like terms: -0.2307692308 + 0.03698224852 = -0.19378698228 0.03698224852 + -0.3846153846u + u2 = -0.19378698228 Factor a perfect square on the left side: (u + -0.1923076923)(u + -0.1923076923) = -0.19378698228 Can't calculate square root of the right side. The solution to this equation could not be determined.
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