x^2+53x+630=0

Solution for x^2+53x+630=0 equation:

Simplifying
x2 + 53x + 630 = 0

Reorder the terms:
630 + 53x + x2 = 0

Solving
630 + 53x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(35 + x)(18 + x) = 0

Subproblem 1
Set the factor '(35 + x)' equal to zero and attempt to solve:

Simplifying
35 + x = 0

Solving
35 + x = 0

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

Add '-35' to each side of the equation.
35 + -35 + x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + x = 0 + -35
x = 0 + -35

Combine like terms: 0 + -35 = -35
x = -35

Simplifying
x = -35
Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {-35, -18}