u^3-63u=0

Solution for u^3-63u=0 equation:

Simplifying
u3 + -63u = 0

Reorder the terms:
-63u + u3 = 0

Solving
-63u + u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-63 + u2) = 0

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 '(-63 + u2)' equal to zero and attempt to solve:

Simplifying
-63 + u2 = 0

Solving
-63 + u2 = 0

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

Add '63' to each side of the equation.
-63 + 63 + u2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + u2 = 0 + 63
u2 = 0 + 63

Combine like terms: 0 + 63 = 63
u2 = 63

Simplifying
u2 = 63

Take the square root of each side:
u = {-7.937253933, 7.937253933}
Solution
u = {0, -7.937253933, 7.937253933}