u^2+48u+47=0

Solution for u^2+48u+47=0 equation:

Simplifying
u2 + 48u + 47 = 0

Reorder the terms:
47 + 48u + u2 = 0

Solving
47 + 48u + u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(47 + u)' equal to zero and attempt to solve:

Simplifying
47 + u = 0

Solving
47 + u = 0

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

Add '-47' to each side of the equation.
47 + -47 + u = 0 + -47

Combine like terms: 47 + -47 = 0
0 + u = 0 + -47
u = 0 + -47

Combine like terms: 0 + -47 = -47
u = -47

Simplifying
u = -47
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 = {-47, -1}