u^2+26u=0

Solution for u^2+26u=0 equation:

Simplifying
u2 + 26u = 0

Reorder the terms:
26u + u2 = 0

Solving
26u + u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(26 + u) = 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 '(26 + u)' equal to zero and attempt to solve:

Simplifying
26 + u = 0

Solving
26 + u = 0

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

Add '-26' to each side of the equation.
26 + -26 + u = 0 + -26

Combine like terms: 26 + -26 = 0
0 + u = 0 + -26
u = 0 + -26

Combine like terms: 0 + -26 = -26
u = -26

Simplifying
u = -26
Solution
u = {0, -26}