x^2+30x+161=0

Solution for x^2+30x+161=0 equation:

Simplifying
x2 + 30x + 161 = 0

Reorder the terms:
161 + 30x + x2 = 0

Solving
161 + 30x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + x)(7 + x) = 0

Subproblem 1
Set the factor '(23 + x)' equal to zero and attempt to solve:

Simplifying
23 + x = 0

Solving
23 + x = 0

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

Add '-23' to each side of the equation.
23 + -23 + x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + x = 0 + -23
x = 0 + -23

Combine like terms: 0 + -23 = -23
x = -23

Simplifying
x = -23
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-23, -7}