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Simplifying 2u2 + 12u + 46 = u2 + 7 Reorder the terms: 46 + 12u + 2u2 = u2 + 7 Reorder the terms: 46 + 12u + 2u2 = 7 + u2 Solving 46 + 12u + 2u2 = 7 + u2 Solving for variable 'u'. Reorder the terms: 46 + -7 + 12u + 2u2 + -1u2 = 7 + u2 + -7 + -1u2 Combine like terms: 46 + -7 = 39 39 + 12u + 2u2 + -1u2 = 7 + u2 + -7 + -1u2 Combine like terms: 2u2 + -1u2 = 1u2 39 + 12u + 1u2 = 7 + u2 + -7 + -1u2 Reorder the terms: 39 + 12u + 1u2 = 7 + -7 + u2 + -1u2 Combine like terms: 7 + -7 = 0 39 + 12u + 1u2 = 0 + u2 + -1u2 39 + 12u + 1u2 = u2 + -1u2 Combine like terms: u2 + -1u2 = 0 39 + 12u + 1u2 = 0 Begin completing the square. Move the constant term to the right: Add '-39' to each side of the equation. 39 + 12u + -39 + u2 = 0 + -39 Reorder the terms: 39 + -39 + 12u + u2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 12u + u2 = 0 + -39 12u + u2 = 0 + -39 Combine like terms: 0 + -39 = -39 12u + u2 = -39 The u term is 12u. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12u + 36 + u2 = -39 + 36 Reorder the terms: 36 + 12u + u2 = -39 + 36 Combine like terms: -39 + 36 = -3 36 + 12u + u2 = -3 Factor a perfect square on the left side: (u + 6)(u + 6) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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