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