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Simplifying (8 + -1u)(3u + 2) = 0 Reorder the terms: (8 + -1u)(2 + 3u) = 0 Multiply (8 + -1u) * (2 + 3u) (8(2 + 3u) + -1u * (2 + 3u)) = 0 ((2 * 8 + 3u * 8) + -1u * (2 + 3u)) = 0 ((16 + 24u) + -1u * (2 + 3u)) = 0 (16 + 24u + (2 * -1u + 3u * -1u)) = 0 (16 + 24u + (-2u + -3u2)) = 0 Combine like terms: 24u + -2u = 22u (16 + 22u + -3u2) = 0 Solving 16 + 22u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -1u)(2 + 3u) = 0Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Subproblem 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 = {8, -0.6666666667}
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