x^2+42x+272=0

Solution for x^2+42x+272=0 equation:

Simplifying
x2 + 42x + 272 = 0

Reorder the terms:
272 + 42x + x2 = 0

Solving
272 + 42x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(34 + x)(8 + x) = 0

Subproblem 1
Set the factor '(34 + x)' equal to zero and attempt to solve:

Simplifying
34 + x = 0

Solving
34 + x = 0

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

Add '-34' to each side of the equation.
34 + -34 + x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + x = 0 + -34
x = 0 + -34

Combine like terms: 0 + -34 = -34
x = -34

Simplifying
x = -34
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {-34, -8}