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Simplifying u2 + 3u + -4 = u2 + u + -6 + u2 + -3u + 2 Reorder the terms: -4 + 3u + u2 = u2 + u + -6 + u2 + -3u + 2 Reorder the terms: -4 + 3u + u2 = -6 + 2 + u + -3u + u2 + u2 Combine like terms: -6 + 2 = -4 -4 + 3u + u2 = -4 + u + -3u + u2 + u2 Combine like terms: u + -3u = -2u -4 + 3u + u2 = -4 + -2u + u2 + u2 Combine like terms: u2 + u2 = 2u2 -4 + 3u + u2 = -4 + -2u + 2u2 Add '4' to each side of the equation. -4 + 3u + 4 + u2 = -4 + -2u + 4 + 2u2 Reorder the terms: -4 + 4 + 3u + u2 = -4 + -2u + 4 + 2u2 Combine like terms: -4 + 4 = 0 0 + 3u + u2 = -4 + -2u + 4 + 2u2 3u + u2 = -4 + -2u + 4 + 2u2 Reorder the terms: 3u + u2 = -4 + 4 + -2u + 2u2 Combine like terms: -4 + 4 = 0 3u + u2 = 0 + -2u + 2u2 3u + u2 = -2u + 2u2 Solving 3u + u2 = -2u + 2u2 Solving for variable 'u'. Reorder the terms: 3u + 2u + u2 + -2u2 = -2u + 2u2 + 2u + -2u2 Combine like terms: 3u + 2u = 5u 5u + u2 + -2u2 = -2u + 2u2 + 2u + -2u2 Combine like terms: u2 + -2u2 = -1u2 5u + -1u2 = -2u + 2u2 + 2u + -2u2 Reorder the terms: 5u + -1u2 = -2u + 2u + 2u2 + -2u2 Combine like terms: -2u + 2u = 0 5u + -1u2 = 0 + 2u2 + -2u2 5u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 5u + -1u2 = 0 Factor out the Greatest Common Factor (GCF), 'u'. u(5 + -1u) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {0, 5}
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