2u(4u-3)=0

Solution for 2u(4u-3)=0 equation:

Simplifying
2u(4u + -3) = 0

Reorder the terms:
2u(-3 + 4u) = 0
(-3 * 2u + 4u * 2u) = 0
(-6u + 8u2) = 0

Solving
-6u + 8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-3 + 4u) = 0

Ignore the factor 2.
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 '(-3 + 4u)' equal to zero and attempt to solve:

Simplifying
-3 + 4u = 0

Solving
-3 + 4u = 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 + 4u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4u = 0 + 3
4u = 0 + 3

Combine like terms: 0 + 3 = 3
4u = 3

Divide each side by '4'.
u = 0.75

Simplifying
u = 0.75
Solution
u = {0, 0.75}