72u^3-50u=0

Solution for 72u^3-50u=0 equation:

Simplifying
72u3 + -50u = 0

Reorder the terms:
-50u + 72u3 = 0

Solving
-50u + 72u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-25 + 36u2) = 0

Factor a difference between two squares.
2u((5 + 6u)(-5 + 6u)) = 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 '(5 + 6u)' equal to zero and attempt to solve:

Simplifying
5 + 6u = 0

Solving
5 + 6u = 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 + 6u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6u = 0 + -5
6u = 0 + -5

Combine like terms: 0 + -5 = -5
6u = -5

Divide each side by '6'.
u = -0.8333333333

Simplifying
u = -0.8333333333
Subproblem 3
Set the factor '(-5 + 6u)' equal to zero and attempt to solve:

Simplifying
-5 + 6u = 0

Solving
-5 + 6u = 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 + 6u = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6u = 0 + 5
6u = 0 + 5

Combine like terms: 0 + 5 = 5
6u = 5

Divide each side by '6'.
u = 0.8333333333

Simplifying
u = 0.8333333333
Solution
u = {0, -0.8333333333, 0.8333333333}