4(u-5)6u=

Solution for 4(u-5)6u= equation:

Simplifying
4(u + -5) * 6u = 0

Reorder the terms:
4(-5 + u) * 6u = 0

Reorder the terms for easier multiplication:
4 * 6u(-5 + u) = 0

Multiply 4 * 6
24u(-5 + u) = 0
(-5 * 24u + u * 24u) = 0
(-120u + 24u2) = 0

Solving
-120u + 24u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '24u'.
24u(-5 + u) = 0

Ignore the factor 24.
Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-5 + u)' equal to zero and attempt to solve:

Simplifying
-5 + u = 0

Solving
-5 + u = 0

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

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

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

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

Simplifying
u = 5
Solution
u = {0, 5}