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Simplifying u(u + -5) + 8 = u(u + 2) + -4 Reorder the terms: u(-5 + u) + 8 = u(u + 2) + -4 (-5 * u + u * u) + 8 = u(u + 2) + -4 (-5u + u2) + 8 = u(u + 2) + -4 Reorder the terms: 8 + -5u + u2 = u(u + 2) + -4 Reorder the terms: 8 + -5u + u2 = u(2 + u) + -4 8 + -5u + u2 = (2 * u + u * u) + -4 8 + -5u + u2 = (2u + u2) + -4 Reorder the terms: 8 + -5u + u2 = -4 + 2u + u2 Add '-1u2' to each side of the equation. 8 + -5u + u2 + -1u2 = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 8 + -5u + 0 = -4 + 2u + u2 + -1u2 8 + -5u = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 8 + -5u = -4 + 2u + 0 8 + -5u = -4 + 2u Solving 8 + -5u = -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. 8 + -5u + -2u = -4 + 2u + -2u Combine like terms: -5u + -2u = -7u 8 + -7u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + -7u = -4 + 0 8 + -7u = -4 Add '-8' to each side of the equation. 8 + -8 + -7u = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -7u = -4 + -8 -7u = -4 + -8 Combine like terms: -4 + -8 = -12 -7u = -12 Divide each side by '-7'. u = 1.714285714 Simplifying u = 1.714285714
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