x^2+49x+390=0

Solution for x^2+49x+390=0 equation:

Simplifying
x2 + 49x + 390 = 0

Reorder the terms:
390 + 49x + x2 = 0

Solving
390 + 49x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(39 + x)(10 + x) = 0

Subproblem 1
Set the factor '(39 + x)' equal to zero and attempt to solve:

Simplifying
39 + x = 0

Solving
39 + x = 0

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

Add '-39' to each side of the equation.
39 + -39 + x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + x = 0 + -39
x = 0 + -39

Combine like terms: 0 + -39 = -39
x = -39

Simplifying
x = -39
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-39, -10}