u^2+25u+24=0

Solution for u^2+25u+24=0 equation:

Simplifying
u2 + 25u + 24 = 0

Reorder the terms:
24 + 25u + u2 = 0

Solving
24 + 25u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(24 + u)(1 + u) = 0

Subproblem 1
Set the factor '(24 + u)' equal to zero and attempt to solve:

Simplifying
24 + u = 0

Solving
24 + u = 0

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

Add '-24' to each side of the equation.
24 + -24 + u = 0 + -24

Combine like terms: 24 + -24 = 0
0 + u = 0 + -24
u = 0 + -24

Combine like terms: 0 + -24 = -24
u = -24

Simplifying
u = -24
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

Add '-1' to each side of the equation.
1 + -1 + u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + u = 0 + -1
u = 0 + -1

Combine like terms: 0 + -1 = -1
u = -1

Simplifying
u = -1
Solution
u = {-24, -1}