x^2+55x=-54

Solution for x^2+55x=-54 equation:

Simplifying
x2 + 55x = -54

Reorder the terms:
55x + x2 = -54

Solving
55x + x2 = -54

Solving for variable 'x'.

Reorder the terms:
54 + 55x + x2 = -54 + 54

Combine like terms: -54 + 54 = 0
54 + 55x + x2 = 0

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

Subproblem 1
Set the factor '(54 + x)' equal to zero and attempt to solve:

Simplifying
54 + x = 0

Solving
54 + x = 0

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

Add '-54' to each side of the equation.
54 + -54 + x = 0 + -54

Combine like terms: 54 + -54 = 0
0 + x = 0 + -54
x = 0 + -54

Combine like terms: 0 + -54 = -54
x = -54

Simplifying
x = -54
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 = {-54, -1}