x^2+54x+473=0

Solution for x^2+54x+473=0 equation:

Simplifying
x2 + 54x + 473 = 0

Reorder the terms:
473 + 54x + x2 = 0

Solving
473 + 54x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(43 + x)(11 + x) = 0

Subproblem 1
Set the factor '(43 + x)' equal to zero and attempt to solve:

Simplifying
43 + x = 0

Solving
43 + x = 0

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

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

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

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

Simplifying
x = -43
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-43, -11}