(5u-3)(4+u)=0

Solution for (5u-3)(4+u)=0 equation:

Simplifying
(5u + -3)(4 + u) = 0

Reorder the terms:
(-3 + 5u)(4 + u) = 0

Multiply (-3 + 5u) * (4 + u)
(-3(4 + u) + 5u * (4 + u)) = 0
((4 * -3 + u * -3) + 5u * (4 + u)) = 0
((-12 + -3u) + 5u * (4 + u)) = 0
(-12 + -3u + (4 * 5u + u * 5u)) = 0
(-12 + -3u + (20u + 5u2)) = 0

Combine like terms: -3u + 20u = 17u
(-12 + 17u + 5u2) = 0

Solving
-12 + 17u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(3 + -5u) = 0

Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve:

Simplifying
-4 + -1u = 0

Solving
-4 + -1u = 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 + -1u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1u = 0 + 4
-1u = 0 + 4

Combine like terms: 0 + 4 = 4
-1u = 4

Divide each side by '-1'.
u = -4

Simplifying
u = -4
Subproblem 2
Set the factor '(3 + -5u)' equal to zero and attempt to solve:

Simplifying
3 + -5u = 0

Solving
3 + -5u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5u = 0 + -3
-5u = 0 + -3

Combine like terms: 0 + -3 = -3
-5u = -3

Divide each side by '-5'.
u = 0.6

Simplifying
u = 0.6
Solution
u = {-4, 0.6}