x^2+50x+301=0

Solution for x^2+50x+301=0 equation:

Simplifying
x2 + 50x + 301 = 0

Reorder the terms:
301 + 50x + x2 = 0

Solving
301 + 50x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(43 + x)' equal to zero and attempt to solve:

Simplifying
43 + x = 0

Solving
43 + x = 0

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

Add '-43' to each side of the equation.
43 + -43 + x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + x = 0 + -43
x = 0 + -43

Combine like terms: 0 + -43 = -43
x = -43

Simplifying
x = -43
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 = {-43, -7}