x^2+55x=-250

Solution for x^2+55x=-250 equation:

Simplifying
x2 + 55x = -250

Reorder the terms:
55x + x2 = -250

Solving
55x + x2 = -250

Solving for variable 'x'.

Reorder the terms:
250 + 55x + x2 = -250 + 250

Combine like terms: -250 + 250 = 0
250 + 55x + x2 = 0

Factor a trinomial.
(50 + x)(5 + x) = 0

Subproblem 1
Set the factor '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 0

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

Add '-50' to each side of the equation.
50 + -50 + x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x = 0 + -50
x = 0 + -50

Combine like terms: 0 + -50 = -50
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-50, -5}