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Simplifying -16u + -5 = 3u2 Reorder the terms: -5 + -16u = 3u2 Solving -5 + -16u = 3u2 Solving for variable 'u'. Combine like terms: 3u2 + -3u2 = 0 -5 + -16u + -3u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 16u + 3u2) = 0 Factor a trinomial. -1((5 + u)(1 + 3u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 2
Set the factor '(1 + 3u)' equal to zero and attempt to solve: Simplifying 1 + 3u = 0 Solving 1 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3u = 0 + -1 3u = 0 + -1 Combine like terms: 0 + -1 = -1 3u = -1 Divide each side by '3'. u = -0.3333333333 Simplifying u = -0.3333333333Solution
u = {-5, -0.3333333333}
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