x^2+48x+47=0

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

Simplifying
x2 + 48x + 47 = 0

Reorder the terms:
47 + 48x + x2 = 0

Solving
47 + 48x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
47 + x = 0

Solving
47 + x = 0

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

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

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

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

Simplifying
x = -47
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-47, -1}