5u(8u-1)=0

Solution for 5u(8u-1)=0 equation:

Simplifying
5u(8u + -1) = 0

Reorder the terms:
5u(-1 + 8u) = 0
(-1 * 5u + 8u * 5u) = 0
(-5u + 40u2) = 0

Solving
-5u + 40u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(-1 + 8u) = 0

Ignore the factor 5.
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 '(-1 + 8u)' equal to zero and attempt to solve:

Simplifying
-1 + 8u = 0

Solving
-1 + 8u = 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 + 8u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8u = 0 + 1
8u = 0 + 1

Combine like terms: 0 + 1 = 1
8u = 1

Divide each side by '8'.
u = 0.125

Simplifying
u = 0.125
Solution
u = {0, 0.125}