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Simplifying (5u + 4)(2 + u) = 0 Reorder the terms: (4 + 5u)(2 + u) = 0 Multiply (4 + 5u) * (2 + u) (4(2 + u) + 5u * (2 + u)) = 0 ((2 * 4 + u * 4) + 5u * (2 + u)) = 0 ((8 + 4u) + 5u * (2 + u)) = 0 (8 + 4u + (2 * 5u + u * 5u)) = 0 (8 + 4u + (10u + 5u2)) = 0 Combine like terms: 4u + 10u = 14u (8 + 14u + 5u2) = 0 Solving 8 + 14u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(4 + 5u) = 0Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 2
Set the factor '(4 + 5u)' equal to zero and attempt to solve: Simplifying 4 + 5u = 0 Solving 4 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5u = 0 + -4 5u = 0 + -4 Combine like terms: 0 + -4 = -4 5u = -4 Divide each side by '5'. u = -0.8 Simplifying u = -0.8Solution
u = {-2, -0.8}
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