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Simplifying u(u + 5) + 8u = u(u + 2) + -4 Reorder the terms: u(5 + u) + 8u = u(u + 2) + -4 (5 * u + u * u) + 8u = u(u + 2) + -4 (5u + u2) + 8u = u(u + 2) + -4 Reorder the terms: 5u + 8u + u2 = u(u + 2) + -4 Combine like terms: 5u + 8u = 13u 13u + u2 = u(u + 2) + -4 Reorder the terms: 13u + u2 = u(2 + u) + -4 13u + u2 = (2 * u + u * u) + -4 13u + u2 = (2u + u2) + -4 Reorder the terms: 13u + u2 = -4 + 2u + u2 Add '-1u2' to each side of the equation. 13u + u2 + -1u2 = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 13u + 0 = -4 + 2u + u2 + -1u2 13u = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 13u = -4 + 2u + 0 13u = -4 + 2u Solving 13u = -4 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 13u + -2u = -4 + 2u + -2u Combine like terms: 13u + -2u = 11u 11u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 11u = -4 + 0 11u = -4 Divide each side by '11'. u = -0.3636363636 Simplifying u = -0.3636363636
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