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Simplifying (4 + u)(3u + 2) = 0 Reorder the terms: (4 + u)(2 + 3u) = 0 Multiply (4 + u) * (2 + 3u) (4(2 + 3u) + u(2 + 3u)) = 0 ((2 * 4 + 3u * 4) + u(2 + 3u)) = 0 ((8 + 12u) + u(2 + 3u)) = 0 (8 + 12u + (2 * u + 3u * u)) = 0 (8 + 12u + (2u + 3u2)) = 0 Combine like terms: 12u + 2u = 14u (8 + 14u + 3u2) = 0 Solving 8 + 14u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + u)(2 + 3u) = 0Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 2
Set the factor '(2 + 3u)' equal to zero and attempt to solve: Simplifying 2 + 3u = 0 Solving 2 + 3u = 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 + 3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3u = 0 + -2 3u = 0 + -2 Combine like terms: 0 + -2 = -2 3u = -2 Divide each side by '3'. u = -0.6666666667 Simplifying u = -0.6666666667Solution
u = {-4, -0.6666666667}
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