x^2+348x+30275=0

Solution for x^2+348x+30275=0 equation:

Simplifying
x2 + 348x + 30275 = 0

Reorder the terms:
30275 + 348x + x2 = 0

Solving
30275 + 348x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(175 + x)(173 + x) = 0

Subproblem 1
Set the factor '(175 + x)' equal to zero and attempt to solve:

Simplifying
175 + x = 0

Solving
175 + x = 0

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

Add '-175' to each side of the equation.
175 + -175 + x = 0 + -175

Combine like terms: 175 + -175 = 0
0 + x = 0 + -175
x = 0 + -175

Combine like terms: 0 + -175 = -175
x = -175

Simplifying
x = -175
Subproblem 2
Set the factor '(173 + x)' equal to zero and attempt to solve:

Simplifying
173 + x = 0

Solving
173 + x = 0

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

Add '-173' to each side of the equation.
173 + -173 + x = 0 + -173

Combine like terms: 173 + -173 = 0
0 + x = 0 + -173
x = 0 + -173

Combine like terms: 0 + -173 = -173
x = -173

Simplifying
x = -173
Solution
x = {-175, -173}