x^2+41x+210=0

Solution for x^2+41x+210=0 equation:

Simplifying
x2 + 41x + 210 = 0

Reorder the terms:
210 + 41x + x2 = 0

Solving
210 + 41x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(35 + x)(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-35, -6}