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Simplifying u(u + -5) + 8u = u(u + 2) Reorder the terms: u(-5 + u) + 8u = u(u + 2) (-5 * u + u * u) + 8u = u(u + 2) (-5u + u2) + 8u = u(u + 2) Reorder the terms: -5u + 8u + u2 = u(u + 2) Combine like terms: -5u + 8u = 3u 3u + u2 = u(u + 2) Reorder the terms: 3u + u2 = u(2 + u) 3u + u2 = (2 * u + u * u) 3u + u2 = (2u + u2) Add '-1u2' to each side of the equation. 3u + u2 + -1u2 = 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 3u + 0 = 2u + u2 + -1u2 3u = 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 3u = 2u + 0 3u = 2u Solving 3u = 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. 3u + -2u = 2u + -2u Combine like terms: 3u + -2u = 1u 1u = 2u + -2u Combine like terms: 2u + -2u = 0 1u = 0 Divide each side by '1'. u = 0 Simplifying u = 0
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