x^2+38x+37=0

Solution for x^2+38x+37=0 equation:

Simplifying
x2 + 38x + 37 = 0

Reorder the terms:
37 + 38x + x2 = 0

Solving
37 + 38x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(37 + x)' equal to zero and attempt to solve:

Simplifying
37 + x = 0

Solving
37 + x = 0

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

Add '-37' to each side of the equation.
37 + -37 + x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + x = 0 + -37
x = 0 + -37

Combine like terms: 0 + -37 = -37
x = -37

Simplifying
x = -37
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 = {-37, -1}