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Simplifying (u + 6)(u + 6) = 2u2 + 6u + 64 Reorder the terms: (6 + u)(u + 6) = 2u2 + 6u + 64 Reorder the terms: (6 + u)(6 + u) = 2u2 + 6u + 64 Multiply (6 + u) * (6 + u) (6(6 + u) + u(6 + u)) = 2u2 + 6u + 64 ((6 * 6 + u * 6) + u(6 + u)) = 2u2 + 6u + 64 ((36 + 6u) + u(6 + u)) = 2u2 + 6u + 64 (36 + 6u + (6 * u + u * u)) = 2u2 + 6u + 64 (36 + 6u + (6u + u2)) = 2u2 + 6u + 64 Combine like terms: 6u + 6u = 12u (36 + 12u + u2) = 2u2 + 6u + 64 Reorder the terms: 36 + 12u + u2 = 64 + 6u + 2u2 Solving 36 + 12u + u2 = 64 + 6u + 2u2 Solving for variable 'u'. Reorder the terms: 36 + -64 + 12u + -6u + u2 + -2u2 = 64 + 6u + 2u2 + -64 + -6u + -2u2 Combine like terms: 36 + -64 = -28 -28 + 12u + -6u + u2 + -2u2 = 64 + 6u + 2u2 + -64 + -6u + -2u2 Combine like terms: 12u + -6u = 6u -28 + 6u + u2 + -2u2 = 64 + 6u + 2u2 + -64 + -6u + -2u2 Combine like terms: u2 + -2u2 = -1u2 -28 + 6u + -1u2 = 64 + 6u + 2u2 + -64 + -6u + -2u2 Reorder the terms: -28 + 6u + -1u2 = 64 + -64 + 6u + -6u + 2u2 + -2u2 Combine like terms: 64 + -64 = 0 -28 + 6u + -1u2 = 0 + 6u + -6u + 2u2 + -2u2 -28 + 6u + -1u2 = 6u + -6u + 2u2 + -2u2 Combine like terms: 6u + -6u = 0 -28 + 6u + -1u2 = 0 + 2u2 + -2u2 -28 + 6u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 -28 + 6u + -1u2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 28 + -6u + u2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -6u + -28 + u2 = 0 + -28 Reorder the terms: 28 + -28 + -6u + u2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -6u + u2 = 0 + -28 -6u + u2 = 0 + -28 Combine like terms: 0 + -28 = -28 -6u + u2 = -28 The u term is -6u. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6u + 9 + u2 = -28 + 9 Reorder the terms: 9 + -6u + u2 = -28 + 9 Combine like terms: -28 + 9 = -19 9 + -6u + u2 = -19 Factor a perfect square on the left side: (u + -3)(u + -3) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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