u^2+43u=0

Solution for u^2+43u=0 equation:

Simplifying
u2 + 43u = 0

Reorder the terms:
43u + u2 = 0

Solving
43u + u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(43 + 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 '(43 + u)' equal to zero and attempt to solve:

Simplifying
43 + u = 0

Solving
43 + u = 0

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

Add '-43' to each side of the equation.
43 + -43 + u = 0 + -43

Combine like terms: 43 + -43 = 0
0 + u = 0 + -43
u = 0 + -43

Combine like terms: 0 + -43 = -43
u = -43

Simplifying
u = -43
Solution
u = {0, -43}