u^3=14ui^2+32u

Solution for u^3=14ui^2+32u equation:

Simplifying
u3 = 14ui2 + 32u

Solving
u3 = 14i2u + 32u

Solving for variable 'u'.

Reorder the terms:
-14i2u + -32u + u3 = 14i2u + 32u + -14i2u + -32u

Reorder the terms:
-14i2u + -32u + u3 = 14i2u + -14i2u + 32u + -32u

Combine like terms: 14i2u + -14i2u = 0
-14i2u + -32u + u3 = 0 + 32u + -32u
-14i2u + -32u + u3 = 32u + -32u

Combine like terms: 32u + -32u = 0
-14i2u + -32u + u3 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-14i2 + -32 + 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 '(-14i2 + -32 + u2)' equal to zero and attempt to solve:

Simplifying
-14i2 + -32 + u2 = 0

Reorder the terms:
-32 + -14i2 + u2 = 0

Solving
-32 + -14i2 + u2 = 0

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

Add '32' to each side of the equation.
-32 + -14i2 + 32 + u2 = 0 + 32

Reorder the terms:
-32 + 32 + -14i2 + u2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -14i2 + u2 = 0 + 32
-14i2 + u2 = 0 + 32

Combine like terms: 0 + 32 = 32
-14i2 + u2 = 32

Add '14i2' to each side of the equation.
-14i2 + 14i2 + u2 = 32 + 14i2

Combine like terms: -14i2 + 14i2 = 0
0 + u2 = 32 + 14i2
u2 = 32 + 14i2

Simplifying
u2 = 32 + 14i2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}