(3u+1)(8-u)=0

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Solution for (3u+1)(8-u)=0 equation:


Simplifying
(3u + 1)(8 + -1u) = 0

Reorder the terms:
(1 + 3u)(8 + -1u) = 0

Multiply (1 + 3u) * (8 + -1u)
(1(8 + -1u) + 3u * (8 + -1u)) = 0
((8 * 1 + -1u * 1) + 3u * (8 + -1u)) = 0
((8 + -1u) + 3u * (8 + -1u)) = 0
(8 + -1u + (8 * 3u + -1u * 3u)) = 0
(8 + -1u + (24u + -3u2)) = 0

Combine like terms: -1u + 24u = 23u
(8 + 23u + -3u2) = 0

Solving
8 + 23u + -3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(8 + -1u)(1 + 3u) = 0

Subproblem 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 = 8

Subproblem 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 = -0.3333333333

Solution

u = {8, -0.3333333333}

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