x^2+28x=-187

Solution for x^2+28x=-187 equation:

Simplifying
x2 + 28x = -187

Reorder the terms:
28x + x2 = -187

Solving
28x + x2 = -187

Solving for variable 'x'.

Reorder the terms:
187 + 28x + x2 = -187 + 187

Combine like terms: -187 + 187 = 0
187 + 28x + x2 = 0

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

Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
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 = {-17, -11}