0=7u^3+14u^2

Solution for 0=7u^3+14u^2 equation:

Simplifying
0 = 7u3 + 14u2

Reorder the terms:
0 = 14u2 + 7u3

Solving
0 = 14u2 + 7u3

Solving for variable 'u'.
Remove the zero:
-14u2 + -7u3 = 14u2 + 7u3 + -14u2 + -7u3

Reorder the terms:
-14u2 + -7u3 = 14u2 + -14u2 + 7u3 + -7u3

Combine like terms: 14u2 + -14u2 = 0
-14u2 + -7u3 = 0 + 7u3 + -7u3
-14u2 + -7u3 = 7u3 + -7u3

Combine like terms: 7u3 + -7u3 = 0
-14u2 + -7u3 = 0

Factor out the Greatest Common Factor (GCF), '-7u2'.
-7u2(2 + u) = 0

Ignore the factor -7.
Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve:

Simplifying
u2 = 0

Solving
u2 = 0

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

Simplifying
u2 = 0

Take the square root of each side:
u = {0}
Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

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

Add '-2' to each side of the equation.
2 + -2 + u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + u = 0 + -2
u = 0 + -2

Combine like terms: 0 + -2 = -2
u = -2

Simplifying
u = -2
Solution
u = {0, -2}